This paper presents a new analytical framework for Doppler covariance analysis of planetary flybys. Regardless of the strength of gravitational interaction, this analytical framework is applicable to both conservative and nonconservative perturbations. In this framework, first-order analytical formulas for position and velocity variation are derived for hyperbolic orbits, and a linear model of the Doppler observable is adopted for planetary flybys. Through this method, the analytical variance of the standard gravitational parameter is derived and analyzed for Doppler observations of planetary flybys. This analytical variance can predict the expected precision of the mass determination via analysis of Doppler observation data without regard for the strength of gravitational interactions. The analytical variance is also applicable to preliminary parametric analyses of flyby geometries for mass determinations. Two numerical simulations and one Monte Carlo simulation demonstrate the validity of the analytical framework and the analytical mass variance.
Bibliographical noteFunding Information:
This paper is a result of the collaborative project between Korea Astronomy and Space Science Institute and Yonsei University through Degree and Research Center program of Korea Research Council of Fundamental Science and Technology (DRC-12-2-KASI). Also, the work was supported by the National Research Foundation of Korea through the Space Core Technology Development Program funded by the Ministry of Science, ICT, and Future Planning.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Aerospace Engineering
- Space and Planetary Science
- Electrical and Electronic Engineering
- Applied Mathematics