Approximately 10% of primary hyperparathyroidism cases are hereditary, due to germline mutations in certain genes. Although clinically relevant, a systematized genetic diagnosis is missing due to a lack of firm evidence regarding individuals to test and which genes to evaluate.
Germline variants were observed in 9/40 patients (22.5%): 2 previously unknown pathogenic/likely pathogenic variants of CDKN1B (related to MEN4), 1 novel variant of uncertain significance of CDKN2C, 4 variants of CASR (3 pathogenic/likely pathogenic variants and 1 variant of uncertain significance), and 2 novel variants of uncertain significance of TRPV6. Familial segregation studies allowed diagnosis and early treatment of PHPT in first-degree relatives of probands.
The observed prevalence of germline variants in the Mediterranean cohort under study was remarkable and slightly higher than that seen in other populations. Genetic screening for suspected familial hyperparathyroidism allows the early diagnosis and treatment of PHPT and other related comorbidities. We recommend genetic testing for patients with primary hyperparathyroidism who present with high-risk features.
Volume 14 - 2023 | https://doi.org/10.3389/fendo.2023.1244361
Background: Approximately 10% of primary hyperparathyroidism cases are hereditary
due to germline mutations in certain genes
a systematized genetic diagnosis is missing due to a lack of firm evidence regarding individuals to test and which genes to evaluate
and TRPV6) was performed in 40 patients from the Mediterranean area with suspected familial hyperparathyroidism (≤45 years of age
We aimed to determine the prevalence of germline variants in these patients
to clinically characterize the probands and their relatives
and to compare disease severity in carriers versus those with a negative genetic test
Results: Germline variants were observed in 9/40 patients (22.5%): 2 previously unknown pathogenic/likely pathogenic variants of CDKN1B (related to MEN4)
1 novel variant of uncertain significance of CDKN2C
4 variants of CASR (3 pathogenic/likely pathogenic variants and 1 variant of uncertain significance)
and 2 novel variants of uncertain significance of TRPV6
Familial segregation studies allowed diagnosis and early treatment of PHPT in first-degree relatives of probands
Conclusion: The observed prevalence of germline variants in the Mediterranean cohort under study was remarkable and slightly higher than that seen in other populations
Genetic screening for suspected familial hyperparathyroidism allows the early diagnosis and treatment of PHPT and other related comorbidities
We recommend genetic testing for patients with primary hyperparathyroidism who present with high-risk features
it appears that FHPT is underdiagnosed and underreported in the literature
likely due to the limited number of genetic studies performed in clinical practice and an insufficient understanding of these conditions
none of these were carried out among the Spanish population
and only a few involved people living in the Mediterranean area
The aim of this study was to perform genetic screening
of patients with PHPT who presented some risk features
in order to: 1) Determine the prevalence of germline mutations in the analysed genes in our cohort
2) Clinically characterize carriers of variants and their first-degree relatives
3) Compare disease severity in carriers of variants with respect to those without a genetic alteration found and compare the prevalence of germline variants in our population with those in other cohorts
An ambispective observational study was conducted
We collected data from patients diagnosed with PHPT who also exhibited some risk factors for FHPT
The diagnosis of PHPT was established by inappropriately non-suppressed or high parathyroid hormone levels (PTH) (reference value [RV] 12.32-41.99 pmol/L) with normal or elevated albumin-corrected serum calcium levels (RV 2.1-2.55 mmol/L)
Patients were included in the study when at least one inclusion criterion was met: 1) Age at onset of PHPT ≤ 45 years
2) High-risk parathyroid histology (parathyroid carcinoma
or biopsy-documented MGD defined as having two or more glands affected by either adenomas or hyperplasia)
3) Recurrent or persistent PHPT (established by presenting corrected serum calcium levels ≥ 2.62 mmol/L three months after parathyroid surgery)
4) Family history of PHPT in at least one first-degree relative
5) Other tumour/s related to syndromic FHPT (gastro-entero-pancreatic neuroendocrine tumours
Having a known mutation in any of the genes under study
as well as having a first-degree relative with a known mutation in any of them
Patients who met the inclusion criteria and agreed to participate were interviewed to obtain detailed medical and family histories between February and July 2020
Baseline data were recorded for each patient
preoperative and postoperative biochemical and hormonal findings (PTH
and calcium creatinine clearance ratio (CCCR
calculated using a 24-hour urinary calcium collection and one blood sample) at diagnosis when available
We reviewed the preoperative imaging results of the parathyroid glands
Written informed consent was obtained from all patients
and the study was approved by the institutional Ethics Committee of Institut d’Investigació i Innovació Parc Taulí I3PT
The sequence variant analysis pipeline was validated in the Clinical Laboratory Improvement Amendments (CLIA) and College of American Pathologists (CAP)-accredited Blueprint Genetics diagnostic laboratory
The series of selected quality criteria included the variant call quality score
and integrative genomics viewer visual analysis
This algorithm was established based on the outcome of internal validation performed in the CLIA and CAP-accredited Blueprint Genetics diagnostic laboratory
CNV analysis was performed bioinformatically from next-generation sequencing data using a bioinformatics pipeline; one component was a CNV kit and the other involved in-house developed proprietary technology
CNVs were confirmed by digital polymerase chain reaction
The CNV analysis pipeline was validated in the CLIA and CAP-accredited Blueprint Genetics diagnostic laboratories
Sanger sequencing of the candidate variants was performed on the patient and family member samples to confirm the presence of the variant and the pattern of inheritance
Variants were classified into five categories according to the American College of Medical Genetics and Genomics and the Association for Molecular Pathology (ACMG/AMP) guidelines (31): benign
We reported all the variants classified as P
genetic counselling of the proband and cascade genetic testing were offered to all at-risk family members
loss of heterozygosity and CNV in tumours and immunohistochemistry studies were performed
Results corresponding to quantitative variables were presented as the mean ± standard deviation
Data associated with qualitative characteristics were reported as percentages
The normality of quantitative variables was assessed using the Shapiro-Wilk normality test
The significance of the difference between two means was assessed using Student’s T-test for normal variables and the Wilcoxon rank sum test for non-normal variables
The significance of the difference between more than two means was assessed using the Kruskal-Wallis test for non-normal variables
The significance of the difference between percentages was assessed using Pearson’s chi-square test
Differences were considered statistically significant at P < 0.05
Calculations were performed using R Commander version 4.0.5
The clinical characteristics of the 40 participants (27 females and 13 males) are displayed in Table 1
The mean age at diagnosis of primary hyperparathyroidism was 51 ± 15.8 years
The circumstances leading to diagnosis of PHPT were diverse: 30% incidental findings of hypercalcemia
and other clinical features in the remaining patients
Thirty-two patients (80%) underwent surgery
with mean highest PTH levels of 50.28 (12.32-41.99) pmol/L (RV 1.06-6.89)
mean albumin adjusted serum calcium of 3.03 ± 0.5 mmol/L
and mean nadir phosphate levels of 0.84 ± 0.39 mmol/L
The inclusion criteria were as follows: 15 subjects were under 45 years of age at diagnosis of PHPT; 28 cases met the histology criteria (one parathyroid carcinoma
and five MGD); four patients presented with recurrence of PHPT after surgery; two cases were included because of family history of PHPT; and seven patients presented tumours that could be related to familial syndrome
32% of the patients met two or more inclusion criteria
Table 1 Clinical variables of the 40 participants
Genetic sequencing of the targeted panel identified five pathogenic/likely pathogenic germline variants in five of the 40 participants (three in CASR and two in CDKN1B) (12.5%) and four variants of uncertain significance (one in CDKN2C, one in CASR, and two in TRPV6) (10%). There was one frameshift variant, one nonsense variant, and seven missense variants. Table 2 summarizes the genetic and clinical characteristics of patients with germline variants
Table 2 Genetic and clinical characteristics of patients displaying germline variants in any of the genes included in the panel
Four patients carried heterozygous missense variants of the CASR gene (ID15
Two of the CASR variant carriers had CCCR < 0.01
Figure 2 Pedigree of probands with detection of germline variant of CASR or TRPV6 genes and their relatives
Family members are indicated by generation (Roman numerals) and individuals (Arabic numerals)
affected family member (inappropriately non-suppressed or high parathyroid hormone levels with normal or elevated serum calcium levels); Filled spot
history of nephrolithiasis or severe vitamin D deficiency; Slashed symbol
They were offered clinical and analytical follow-up
although to date none of them required parathyroid surgery
segregation was observed in all but one sibling
p.(Glu59Lys) was classified as VUS for the time being
according to the ACMG criteria (PM1 (supporting)
Case ID21 was included in the study because he had one daughter with PHPT
His imaging localization studies were negative
but treatment with cinacalcet was initiated (30 mg once daily) and calcium plasma levels decreased from 3.12 to 2.74 mmol/L (RV 2.1-2.55)
The proband’s daughter declined to undergo a genetic test
We analysed the clinical and biochemical features of the study participants according to their genetic test results (see Table 3)
The median age at PHPT diagnosis of subjects with a positive genetic test result was not significantly different from that of patients with negative genetic results
Mean PTH and calcium serum levels pre-surgery of patients carrying genetic variants were higher than those with a negative genetic study
but the difference was not statistically significant
Serum phosphate levels were statistically similar between both groups
The only statistically significant difference found between the two groups was the CCCR
which was lower in the group of patients with a positive genetic test (0.01 vs 0.02
Table 3 Characteristics of patients based on genetic test outcomes
in a comparison of different characteristics of the participants according to the genetic results
the only statistically significant difference was in CCCR
There were no statistically significant differences in the mean age of the group carrying LP or P variants compared to that of subjects with a negative genetic study (54.2 vs
Calcium and PTH concentrations were somewhat higher in the group of patients with a positive genetic test but without statistically significant differences from the group with a negative test
we did not find a trait that was clearly more frequent in patients in whom we found germline variants
Although the differences were not statistically significant
the group of patients carrying a genetic variant had a greater tendency to present more than one inclusion criterion
28.6% in patients with a negative genetic study)
This suggests that having more than one risk characteristic may increase the possibility of positive genetic screening
it should be noted that our sample was small and that this is a descriptive study
so it is difficult to draw firm conclusions
Studies with a larger number of patients would be necessary to corroborate this hypothesis
of the four CASR variant carriers we reported
one had severe hypercalcemia requiring hospitalization (ID15) and three had bone damage (osteoporosis)
The presence of osteoporosis more strongly suggests the acquisition of autonomy of one or more parathyroid glands
Further research is required to determine the actual prevalence of these mutations and the extent of their phenotypic impact
Variants in the TRPV6 gene have also been associated with nephrolithiasis and chronic pancreatitis when inherited in an autosomal recessive manner. However, most studies investigating the genotypic and phenotypic effects of TRPV6 were conducted in mice (45, 46)
two cases (ID4 and ID30) were diagnosed with primary hyperparathyroidism in young adulthood and carried a single TRPV6 variant
there have been no reports of adults with dominant inheritance of TRPV6 involvement that presented with PHPT
we report these variants to expand the understanding of this gene
their clinical significance remains unclear and should be interpreted with caution
Further research is necessary to determine the clinical implications of TRPV6 variants inherited in a dominant manner
A potential strategy could be to perform whole exome sequencing (WES) or whole genome sequencing (WGS) to study patients with inconclusive genetic test results
This approach may help to uncover a second variant that was not detected by a gene panel and may reveal novel genes associated with FHPT
variants in CDC73 were not found in 11 patients with these tumours included in our cohort
we did not conduct functional analysis; therefore
we could not confirm whether the variants caused the characteristics observed in the patients
particularly in the case of those classified as VUS
the genetic testing we conducted was limited to gene panel sequencing
we found a remarkable prevalence of genetic variants among the genes studied in the at-risk population
This is consistent with the hypothesis that FPHP is probably an underdiagnosed entity owing to non-standardized genetic screening
genetic testing allowed the early diagnosis and treatment of PHPT and other related comorbidities of probands and their first-degree relatives
We suggest genetic testing in patients with PHPT who present any of the risk characteristics considered in the inclusion criteria of our study
WES strategy is replacing gene panel studies in clinical laboratories
we propose a filtering procedure using the aforementioned customized gene panel updated as a first-tier virtual panel for patients with suspected FHPT
The datasets presented in this study can be found in online repositories
The names of the repository/repositories and accession number(s) can be found in the article/supplementary material
The studies were conducted in accordance with the local legislation and institutional requirements
The participants provided their written informed consent to participate in this study
Written informed consent was obtained from the individual(s) for the publication of any potentially identifiable images or data included in this article
NB performed and interpreted genetic data and wrote and edited the manuscript
and RP participated in editing the manuscript
All authors approved the final version of the manuscript to be published
The study was financed with research funds from the Endocrinology and Nutrition Department
Institut d’Investigació i Innovació Parc Taulí (I3PT)
The authors thank the staff of our hospital for suggestions and guidance and the Blueprint Genetic laboratory for the clinical support
Great appreciation goes to all our study participants for the time they devoted
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations
Any product that may be evaluated in this article
or claim that may be made by its manufacturer
is not guaranteed or endorsed by the publisher
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Caixàs A and Rigla M (2023) Genetic testing for familial hyperparathyroidism: clinical-genetic profile in a Mediterranean cohort
Received: 22 June 2023; Accepted: 04 September 2023;Published: 21 September 2023
Copyright © 2023 Mazarico-Altisent, Capel, Baena, Bella-Cueto, Barcons, Guirao, Pareja, Muntean, Arsentales, Caixàs and Rigla. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY)
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*Correspondence: Isabel Mazarico-Altisent, aXNhbWF6YXJpY29AZ21haWwuY29t
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The NASA MESSENGER mission explored the innermost planet of the solar system and obtained a rich data set of range measurements for the determination of Mercury’s ephemeris
Here we use these precise data collected over 7 years to estimate parameters related to general relativity and the evolution of the Sun
These results confirm the validity of the strong equivalence principle with a significantly refined uncertainty of the Nordtvedt parameter η = (−6.6 ± 7.2) × 10−5
By assuming a metric theory of gravitation
we retrieved the post-Newtonian parameter β = 1 + (−1.6 ± 1.8) × 10−5 and the Sun’s gravitational oblateness
\({{J}}_{2 \odot }\) = (2.246 ± 0.022) × 10−7
we obtain an estimate of the time variation of the Sun gravitational parameter
\(\dot{{G} {{M}}_ \odot} {\mathrm{/}}{{G}}{{M}}_ \odot\) = (−6.13 ± 1.47) × 10−14
which is consistent with the expected solar mass loss due to the solar wind and interior processes
This measurement allows us to constrain \(\left| {{\dot{ G}}} \right|{\mathrm{/}}{{G}}\) to be <4 × 10−14 per year
The relativistic corrections to Mercury’s heliocentric acceleration can be formulated based on the parameterized post-Newtonian (PPN) parameters β and γ
which respectively measure the nonlinearity in superposition of gravity and space-time curvature produced by a unit rest mass
Both parameters are zero in the Newtonian formulation and equal to 1 in GR (Methods)
which is known as the gravitomagnetic Einstein–Lense–Thirring (ELT) effect
is related to the distortion of space-time induced by the rotation of the Sun
The relationship between these coefficients is:
which implies that the PPN parameters α1 and α2 are equal to 0
The contribution of the SEP to the gravitational-to-inertial mass ratio depends on the self-gravitational energy (ΩB) and the rest energy of the body (mIc2)
where mG and mI are the gravitational and inertial masses
The Nordtvedt parameter η must be zero to validate the SEP
the test mass used in the experiment needs to be sufficiently large so that the self-gravitational force is not negligible
tests at the scale of the solar or planetary system are suitable to prove the SEP
The study of Mercury’s orbit with a long-duration data set also gives a unique opportunity to detect the time variation of the gravitational constant G
The estimation of \(\dot{{G}}/{{G}}\) is not strongly correlated with other relativistic and solar parameters because its effect is quadratic in time
Mercury’s orbit is perturbed by the combined effect of secular changes in G and M⊙ as follows:
we focused on the radio science data of the NASA Mercury Surface
and Ranging (MESSENGER) mission to investigate the interior structure and evolution of the Sun (GM⊙
and \(\dot { {M}}_ \odot {\mathrm{/}}{ {M}}_ \odot\)) and theory of gravitation (β
Our results show improved estimates of the solar gravitational oblateness and the mass loss rate that are consistent with helioseismology and heliophysics theoretical studies
The accurate measurement of the time variation of the solar gravitational parameter enabled us to constrain \(\left| \dot { {G}} \right|/{ {G}}\) to be lower than 4.0 × 10−14 per year
we determined the Nordtvedt parameter η with a refined uncertainty that demonstrates that there are no violations of the SEP at the level of ~6–7 × 10−5
These data are range-rate (or Doppler) observables that measure the relative velocity in the line-of-sight between the spacecraft and a Deep Space Network (DSN) Earth station
and range observables of the relative distance between the spacecraft and the DSN station
Parallel and independent investigations so far have been conducted to exclusively determine either Mercury’s geophysics or its ephemeris
The estimation of Mercury’s gravity field relied on the assumption of planet’s orbits and GMs
the ephemeris work processed spacecraft range measurements only by using a pre-converged MESSENGER trajectory
Although both methods have successfully been used for interplanetary orbit determination
their piecemeal combination is not the best approach in the case of Mercury
Systematic errors in the MESSENGER orbits directly enter the range data
and are then absorbed into Mercury’s estimated position
since the spacecraft trajectory is not adjusted in the ephemeris solution
a mismodeling of Mercury’s ephemeris leads to imperfect geophysical solutions
We numerically integrate the spacecraft and planet orbits simultaneously in order to provide a comprehensive solution that includes geophysical
and relativity results together with their associated covariances
Here we focus on the results that provide new information on the interior of the Sun and on gravitational theories
The MESSENGER RF subsystem operated at X-band frequencies (7.2 GHz uplink
8.4 GHz downlink) and its two opposite-viewing phased-array antennas (PAAs) were used to conduct the range data campaigns (Methods)
Data distribution throughout Mercury’s orbit
Number of the analyzed measurements as function of the Mercury distance from the Sun in AU
Colors indicate the noise level distribution during each phase bin of Mercury’s orbit
The greater part of the data was collected close to Mercury’s perihelion and aphelion
Both constrained and unconstrained solutions are consistent with Einstein’s theory of GR. GR predictions of β and η values are within 1-σ, as reported in Table 2
These results enable substantial enhancement of both β−1 and η estimates
which are ~7 and ~5 times closer to 0 than LLR solutions
The knowledge of the PPN parameter β in this study is now comparable to the Cassini solution of the PPN parameter
a mean value of the total solar mass loss of −(0.9–1.1) × 10−13\({ {M}}_ \odot\) per year would be expected
since the MESSENGER mission operated during ~2/3 of an entire solar cycle whose maximum occurred in proximity of the end of the mission
Temporal distribution of the range biases with three Mercury’s ephemeris
The measurement biases are required to fit the MESSENGER range data at the noise level with the JPL DE430 (purple) and D432 (blue) ephemerides
and our integrated trajectory for Mercury (black)
These biases were used to determine the quality of the ephemeris results
all the adjusted parameters (Methods) are applied in a final iteration
in which the range biases are adjusted instead of the Mercury’s initial state
and \(\dot{{{ {G} { {M}}}}_ \odot} /{{G}}{{M}}_ \odot\)
Large range biases suggest significant errors in the planet’s ephemeris
The dynamical orbital equations of both Mercury and MESSENGER account for the Lense–Thirring effect due to the Sun’s gravitomagnetic field that leads to a secular precession of the heliocentric longitude of the ascending node and argument of pericenter
The ELT effect on Mercury due to the solar gravitomagnetic field is not negligible
and it may theoretically be used to measure the angular momentum of the Sun
Mercury’s acceleration due to the ELT effect is:
The ELT effect on Mercury’s orbit is mainly in the radial direction with a maximum acceleration of ~2 × 10−7 m s−2
assuming \({ {S}}_ \odot\) = 190 × 10−39 kg m2 s−1
the perturbation induced by the ELT precession is strongly anti-correlated with the effect due to \({ {J}}_{2 \odot }\)
and the recovery of \({ {S}}_ \odot\) is unachievable with the estimation of Mercury’s ephemeris
The Sun’s position correction (Eq. 9) entails an indirect term in the heliocentric acceleration of Mercury
The partial derivative of Mercury’s heliocentric acceleration (aM) with respect to η
which enables the estimation of this parameter by adjusting the planet ephemeris
The time-varying gravitational parameter \(\dot{ {G} { {M}}_ \odot} /{ {G}}{ {M}}_ \odot\) is defined by the sum of the time-variations of the gravitational universal constant \(\dot G/G\) and the mass of the Sun \(\dot { {M}}_ \odot /{ {M}}_ \odot\)
The additional term of Mercury’s heliocentric acceleration due to \(\dot{ {G} { {M}}_ \odot} /{ {G}}{ {M}}_ \odot\) is:
where Δt is the difference between the current epoch and the reference epoch J2000 (1 January 2000 at 1200 UTC)
and \({\mathbf{r}}_{{{M}} \odot }\) is the relative position vector between Mercury and the Sun
This software is based on a batch least-squares scheme that allows the combination of all observations within one batch (arc) for the estimation of the parameters of interest
The least-squares technique relies on an adjustment of model parameters to minimize the discrepancies between the computed observables and actual measurements (residuals)
If the trajectory of the spacecraft alone is integrated
the only parameters that can be estimated are related to MESSENGER’s dynamics around Mercury (e.g.
The simultaneous numerical integration of the planet ephemeris allows the adjustment of other model parameters
such as those from heliophysics and relativity that perturb the orbit of Mercury
The MESSENGER orbital mission (2011–2015) was partitioned in 1499 1-day arcs
Three additional ~10-day arcs cover the three Mercury flybys in 2008–2009
The range data were weighted according to the contribution of the solar plasma that varied through the mission as expressed by the Sun–Earth–Probe angle
the Mercury’s ephemeris is continuously integrated from the Flyby 1 initial epoch (7 January 2008 at 0000 UTC)
We generated partial derivatives of the following MESSENGER-related parameters: spacecraft initial states
Mercury’s gravity field up to degree and order 100 in spherical harmonics
and Mercury’s Love number k2 and orientation (pole’s right ascension and declination)
We also computed partial derivatives of the following Mercury-related parameters: planet’s initial state
\(\dot{ {G} { {M}}}_ \odot /{ {G}}{ {M}}_ \odot\)
\({ {J}}_{{\it{2}}{\it{ \odot }}}\) and \({ {S}}_{\it{ \odot }}\)
The individual normal equations of all these arcs were combined and inverted to yield the final estimates of the geophysical
The orbit of the Earth is not integrated and adjusted in this study since the orbital accuracy of the Earth from the JPL DE432 ephemerides is comparable to the precision of the MESSENGER data
The data processed in this paper include the three MESSENGER flybys around Mercury
The three flybys occurred on 14 January 2008
MESSENGER was inserted in a highly eccentric and near-polar orbit about Mercury on 18 March 2011
The initial period was ~12 h and the orbital periapsis was at ~200-km altitude and ~60°N latitude
Orbit-correction maneuvers (OCMs) were required to maintain the periapsis between 200 and 500 km for the first year of operations
The third-body perturbation of the Sun combined with the high eccentricity of the orbit led to a significant drift of the periapsis altitude and latitude
The mission was extended for a second year in March 2012
and one of them was used to reduce the orbital period to ~8 h
A second extended mission (XM2) started in March 2013 and included a low-altitude campaign until Mercury impact on 28 April 2015
The fuel reserves enabled the spacecraft to maintain periapsis altitudes as low as 15–25 km for several weeks
NASA’s DSN stations tracked the spacecraft during part of these passages from April to October 2014 leading to accurate measurements of Mercury’s gravity at altitudes between 25 and 100 km
the closest approaches of MESSENGER were occulted by Mercury and were thus not visible from the Earth
additional range-rate and range measurements were collected at low altitudes between 75 and 100 km
The data included in this study were collected over ~900 days
The greater part of the excluded data is because of high levels of plasma noise in proximity of superior solar conjunctions (SPE < 35°)
Other arcs were also omitted because of the presence of OCMs or reaction wheel momentum desaturation maneuvers that imparted significant ΔVs leading to significant orbital errors
The analysis of the range data to estimate Mercury’s ephemeris relies strongly on the accuracy of MESSENGER orbital reconstruction
are very sensitive to the quality of the spacecraft orbits
Uncompensated gravity anomalies of Mercury’s gravity field may affect significantly the range residuals leading to inaccurate ephemeris solutions
To mitigate the effects of MESSENGER orbital errors in the determination of Mercury’s ephemeris
both range-rate and range data have been analyzed in this study
This data set includes two-way and three-way coherent range-rate and two-way coherent range measurements
The difference between two- and three-way data is only related to the receiving station
The signal is transmitted by the DSN station and sent coherently back to the same (two-way) or a different (three-way) station by the spacecraft deep space transponder (DST)
The two-way configuration guarantees highly accurate data thanks to the H-masers at the DSN ground stations
The three-way data require additional bias corrections due to the time delay between the oscillators at the transmitting and receiving stations
The biases of the three-way range-rate data are adjusted in the solution to mitigate this error source
Another source of range data error is given by station biases due to imperfect calibration
The accurate measurement of the ranging signal round-trip delay is made through digital signal processors at the DSN stations by correlating the uplink and downlink carriers that are coherently related
This calibration may lead to biases on the measured delay with a standard deviation of 1–3 m
range station biases for each tracking pass may be estimated in orbit determination
the estimation of the range station biases tends to absorb the uncompensated ephemeris mismodeling
the range station biases are not estimated in this study of Mercury’s ephemeris
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This work was conducted at the NASA Goddard Space Flight Center. We are grateful to J.B. Nicholas (EST, Inc.), D.E. Pavlis (SGT, Inc.), and D.D. Rowlands (NASA, GSFC) for their help with the GEODYN II software. A.G. thanks L. Iorio (MIUR), and A. Milani, (University of Pisa) for ideas and discussions. The data used in this paper are available at http://pds-geosciences.wustl.edu/missions/messenger/rs.htm
Center for Research and Exploration in Space Science and Technology
performed radio tracking data processing and preliminary analysis of the MESSENGER orbits
developed updated relativistic and solar modeling in the NASA GSFC orbit determination software (GEODYN II)
contributed to the interpretation of the results
The authors declare no competing financial interests
Publisher's note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
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