A semi-analytic theory for the motion of a lunar satellite
Rent the article at a discountRent now
* Final gross prices may vary according to local VAT.Get Access
A semi-analytical solution to the problem of the motion of a satellite of the moon is presented. Perturbative effects which are considered include those due to the attraction of the moon, earth, and sun, the non-sphericity of the moon's gravitational field, coupling of lower-order terms, solar radiation pressure, and physical libration. Short-period terms and intermediate-period terms, terms with the period of the moon's longitude, are produced by means of von Zeipel's method; it is proposed to obtain the secular perturbations, and those depending only on the argument of perilune, by numerical integration of the equations of motions. The short-period terms and intermediate-period terms are developed up to second order, where first order is 10−2. The secular perturbations and perturbations dependent on the argument of perilune are obtained to third order.
- Brouwer, D. (1959) Astron. J. 64: pp. 378-397
- Brouwer, D., Clemence, G. (1961) Methods of Celestial Mechanics. Academic Press, New York
- Jeffreys, Sir Harold (1967) Proc. Roy. Soc. London 1446: pp. 245-247
- Kozai, Y. (1963) J. Astron. Soc. Japan 15: pp. 301-312
- Moulton, F. R. (1914) An Introduction to Celestial Mechanics. The Macmillan Company, New York
- Oesterwinter, C.: 1966, The Motion of a Lunar Satellite, U.S. Naval Weapons Lab. Tech. Rept. No. 2050.
- Oesterwinter, C. (1966) Motion of a Lunar Satellite. Astron. J. 71: pp. 987-989
- Akim, E. L. (1966) Determination of the Gravitational Field of the Moon by the Motion of AMS Luna-10. Dokl. Akad. Nauk SSSR, Mekhanika 170: pp. 799-802
- Lorell, J., Sjogren, W. L. (1967) Space Programs Summary No. 37-46. Jet Propulsion Laboratory, Pasadena, Calif.
- Tolson, R. H. and Gapcynski, J. P.: 1967, ‘An Analysis of the Lunar Gravitational Field as Obtained from Lunar Orbiter Tracking Data’, presented at the IQSY/COSPAR Assemblies, London, England, July 17–28.
- Plummer, H. C. (1966) An Introductory Treatise on Dynamical Astronomy. Dover Publications, New York
- Giacaglia, G., Murphy, J., and Felsentreger, T.: 1965, The Motion of a Satellite of the Moon, NASA Technical Memorandum X-55295, November.
- Kozai, Y. (1962) Astron. J. 67: pp. 591-598
- Muller, P. M., Sjogren, W. L. (1968) Mascons: Lunar Mass Concentrations. Science 161: pp. 680-684
- Gottlieb, P., Laing, P. (1969) Mass Distributions Inferred from Lunar Orbiter Tracking Data. Trans. Amer. Geophys. Union 50: pp. 124
- Murphy, J. P. and Siry, J. W.: 1969, Lunar Mascon Evidence from Apollo Orbits, NASA Technical Memorandum X-63652, July; alsoPlanetary Space Sci., in press.
- Felsentreger, T. L., Murphy, J. P., Ryan, J. W., and Salter, L. M.: 1969, Lunar Gravity Fields Determined from Apollo 8 Tracking Data, NASA Technical Memorandum X-63666, July.
- A semi-analytic theory for the motion of a lunar satellite
Volume 3, Issue 1 , pp 3-66
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers
- Additional Links
- Industry Sectors