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<br /> <br /> <br /> The Restricted Three-Body Problem (RTBP) describes motion of massless third body under the gravitational field of two massive bodies or the primaries. Circular RTBP comprises two primary bodies which orbit their center of mass in circular orbit. In the classi...
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Format: | Final Project |
Language: | Indonesia |
Online Access: | https://digilib.itb.ac.id/gdl/view/20589 |
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Institution: | Institut Teknologi Bandung |
Language: | Indonesia |
Summary: | <br />
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The Restricted Three-Body Problem (RTBP) describes motion of massless third body under the gravitational field of two massive bodies or the primaries. Circular RTBP comprises two primary bodies which orbit their center of mass in circular orbit. In the classical case (assuming the primaries are point masses with only the gravitational force acting on the system), there are five equlibrium points whose three among them are collinear points (L1, L2, L3) lie on the line joining the primaries. Planet-satellite systems in solar system are suffcient to be explained in circular orbits. Unlike the classical case (point-mass bodies), this work considers motion of the third body under influences of potentials of the primaries which have oblateness. The aim of this work is to find out the effect of oblateness on the existence and location of collinear points for 24 planet-satellite systems in solar system and study the stability of the collinear points (if any) on the system. <br />
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This work considers analytical and numerical studies that assumes orbits of the third body and the primaries are in the same plane (planar). Analytical study indicates the existence of collinear points for 24 planetsatellite systems, but these points are unstable. Numerical study shows that the oblateness of the primaries has relatively small effect on the location of collinear points. Comparing to the classical case, the difference in spatial space of the collinear points due to the in uences of oblateness can be up to several kilometers. |
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