Perturbative analysis on orbital kinematics of flybys and applications to Doppler observation

Youngkwang Kim, Sang-Young Park

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1690-1698
Number of pages9
JournalJournal of Guidance, Control, and Dynamics
Volume38
Issue number9
DOIs
Publication statusPublished - 2015 Jan 1

Fingerprint

analytical framework
Doppler
Kinematics
Orbits
kinematics
orbitals
Geometry
Computer simulation
covariance analysis
simulation
perturbation
geometry
interactions
orbits
Analysis of Covariance
analysis
Observation
Monte Carlo simulation
Interaction
Linear Model

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Aerospace Engineering
  • Space and Planetary Science
  • Electrical and Electronic Engineering
  • Applied Mathematics

Cite this

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abstract = "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.",
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Perturbative analysis on orbital kinematics of flybys and applications to Doppler observation. / Kim, Youngkwang; Park, Sang-Young.

In: Journal of Guidance, Control, and Dynamics, Vol. 38, No. 9, 01.01.2015, p. 1690-1698.

Research output: Contribution to journalArticle

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