http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
dynamics of natural satellites of the planets
The Dynamics of Natural Satellites of the Planets is an accessible reference for understanding the celestial mechanics of planetary moons through the lens of both theory and observation. Based on decades of research by the author, the book utilizes state-of-the-art observations of the natural satellites in the solar system to establish models, measurements and calculations to better understand the theory of the satellite movement and dynamics. It presents an extensive set of study methods and results on the motion of natural satellites of the planets and includes reviews and references to related publication for further explanation. By relating observations to numerical theory, the book serves as a quick and comprehensive reference for applying the theory of orbital dynamics to observational data on orbits and physical properties of the natural satellites in order to formulate state-of-the-art explanations and models, particularly for determining the parameters of satellite motion.
Front Cover -- The Dynamics of Natural Satellites of the Planets -- Copyright -- Contents -- Author's preface -- 1 Objectives, current problems and general approach to the study of the dynamics of satellites -- 1.1 Introduction -- 1.2 Celestial mechanics-the basis for studying the dynamics of planetary satellites -- 1.3 Objectives of studying the dynamics of planetary satellites -- 1.4 Basic concepts of celestial mechanics and astrometry -- 1.5 General approach to studying the dynamics of planets and satellites based on observations -- 1.6 Special properties of necessary observations
2 Satellites of planets -- 2.1 Satellites of the planets-objects of the solar system -- 2.2 Classification and nomenclature of planetary satellites -- 2.3 Discovery of Neptune and its satellite, Triton -- 2.4 The history of the discovery of Pluto's satellite, Charon -- 2.5 Orbital and physical parameters of planets with satellites -- 2.6 Orbital parameters of planetary satellites -- References -- 3 Equations of motion and analytic theories -- 3.1 Equations of motion and coordinate systems -- 3.2 Keplerian motion model -- 3.2.1 The basic formulas of the Keplerian motion
3.2.2 Calculation of coordinates in elliptical Keplerian motion -- 3.2.3 Calculation of velocity in elliptical Keplerian motion -- 3.2.4 Calculation of the partial derivatives of coordinates and velocity components with respect to elements of the Keplerian orbit in elliptical motion -- 3.2.5 Keplerian motion formulas with respect to nonsingular elements (Lagrange elements) -- 3.2.6 Examples of using Lagrange elements -- 3.3 Force function of attraction of a non-spherical planet -- 3.3.1 Force function expansion -- 3.3.2 Attraction in models and for real bodies
3.4 An approximate account of the influence of the main satellites on the motion of distant satellites of the planet -- 3.5 Various approaches and methods for constructing motion models of planetary satellites -- 3.6 A model of motion of a satellite of an oblate planet based on the solution of the generalized problem of two fixed centers -- 3.7 Constructing analytical theories of planetary satellite motion using perturbation theory methods -- 3.7.1 General scheme of perturbation theory -- 3.7.2 Circumstances in the motion of real celestial bodies, allowing the use of perturbation theory methods
Planetary problem -- Satellite problem -- The problem of satellite motion of a non-spherical planet -- Other applications of perturbation theory -- 3.7.3 Equations for elements of the intermediate orbit -- 3.7.4 Solving equations for intermediate orbit elements. Small parameter method -- 3.7.5 Solving equations for intermediate orbit elements. Poisson Method -- 3.8 Expansion of the perturbing function with respect to the elements of the intermediate orbit of a planetary satellite -- 3.9 Determination of perturbations of elements of the planetary satellite intermediate orbit