Mars orientation and rotation angles
Marie Yseboodt, Rose-Marie Baland, S\'ebastien Le Maistre

TL;DR
This paper introduces a precise mathematical formulation for Mars rotation and orientation angles, enabling accurate transformations between different angle sets crucial for high-precision planetary geophysics.
Contribution
It proposes a novel polynomial and series-based formulation for Mars angles, improving long-term transformation accuracy and physical consistency.
Findings
Achieves 0.1 mas transformation precision over 30 years.
Highlights importance of quadratic and Poisson terms for accuracy.
Provides best practices for long-term Mars rotation modeling.
Abstract
The rotation and orientation of Mars is commonly described using two different sets of angles, namely the Euler angles wrt the Mars orbit plane and the right ascension, declination, and prime meridian location angles wrt the Earth equator at J2000 (as adopted by the IAU). We propose a formulation for both these sets of angles, which consists of the sum of a second degree polynomial and of periodic and Poisson series. Such a formulation is shown here to enable accurate (and physically sound) transformation from one set of angles to the other. The transformation formulas are provided and discussed in this paper. In particular, we point that the quadratic and Poisson terms are key ingredients to reach a transformation precision of 0.1 mas, even 30 years away from the reference epoch of the rotation model (e.g. J2000). Such a precision is required to accurately determine the smaller and…
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Taxonomy
TopicsPlanetary Science and Exploration · Inertial Sensor and Navigation · Astro and Planetary Science
