# A New Reference Equipotential Surface, and Reference Ellipsoid for the Planet Mars

@article{Ardalan2009ANR, title={A New Reference Equipotential Surface, and Reference Ellipsoid for the Planet Mars}, author={Alireza Azmoudeh Ardalan and Roohollah Karimi and Erik W. Grafarend}, journal={Earth, Moon, and Planets}, year={2009}, volume={106}, pages={1-13} }

Using the shape model of Mars GTM090AA in terms of spherical harmonics complete to degree and order 90 and gravitational field model of Mars GGM2BC80 in terms of spherical harmonics complete to degree and order 80, both from Mars Global Surveyor (MGS) mission, the geometry (shape) and gravity potential value of reference equipotential surface of Mars (Areoid) are computed based on a constrained optimization problem. In this paper, the Areoid is defined as a reference equipotential surface…

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## References

SHOWING 1-10 OF 13 REFERENCES

Gravity field of Mars: A 75th Degree and Order Model

- Geology, Physics
- 2001

Radiometric tracking data collected by NASA's Deep Space Network (DSN) for Mariner 9, Viking 1 and 2 orbiters, and Mars Global Surveyor (MGS) have been analyzed to determine the gravity field of…

An improved solution of the gravity field of Mars (GMM‐2B) from Mars Global Surveyor

- Geology, Physics
- 2001

A spherical harmonic solution of the Mars gravity field to degree and order 80, Goddard Mars Model 2B (GMM-2B), has been developed using X band tracking data of Mars Global Surveyor (MGS) from…

A global solution for the Mars static and seasonal gravity, Mars orientation, Phobos and Deimos masses, and Mars ephemeris

- Physics, Geology
- 2006

World Geodetic Datum 2000

- Geology
- 1999

Based on the current best estimates of the fundamental geodetic parameters, i.e., W 0 (Grafarend and Ardalan, Journal of Geodesy 71 (1997) 673-679), GM (Ries et al, Geophys. Res. Letters 19 (1992)…

Somigliana–Pizzetti gravity: the international gravity formula accurate to the sub-nanoGal level

- Physics
- 2001

Abstract. The Somigliana–Pizzetti gravity field (the International gravity formula), namely the gravity field of the level ellipsoid (the International Reference Ellipsoid), is derived to the…

Mars Geodesy/Cartography Working Group recommendations on Mars cartographic constants and coordinate systems

- Physics
- 2002

NASA's Mars Geodesy/Cartography Working Group (MGCWG), established in 1998 and chaired since 2000 by one of us (TCD), consists of leading researchers in planetary geodesy and cartography at such…

Report of the IAU Working Group on Cartographic Coordinates and Rotational Elements of the Planets and Satellites

- Physics
- 1980

This paper is the entire report of the IAU Working Group on Cartographic Coordinates and Rotational Elements of the Planets and Satellites, including three annexes. Tables give the recemmended values…

Interior structure and seasonal mass redistribution of Mars from radio tracking of Mars Pathfinder.

- PhysicsScience
- 1997

Improved values of the precession of Mars' pole of rotation and the variation in Mars' rotation rate are estimated, which are in good agreement with a model of seasonal mass exchange of carbon dioxide between the atmosphere and ice caps.

The gravity field of Mars: results from Mars Global Surveyor.

- GeologyScience
- 1999

Observations of the gravity field of Mars reveal a planet that has responded differently in its northern and southern hemispheres to major impacts and volcanic processes. The rough, elevated southern…