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dc.contributor.advisorSaul Rappaport.en_US
dc.contributor.authorBalaji, Bhaskaranen_US
dc.contributor.otherMassachusetts Institute of Technology. Department of Physics.en_US
dc.date.accessioned2016-12-05T19:55:31Z
dc.date.available2016-12-05T19:55:31Z
dc.date.copyright2016en_US
dc.date.issued2016en_US
dc.identifier.urihttp://hdl.handle.net/1721.1/105626
dc.descriptionThesis: S.B., Massachusetts Institute of Technology, Department of Physics, 2016.en_US
dc.descriptionCataloged from PDF version of thesis.en_US
dc.descriptionIncludes bibliographical references (page 47).en_US
dc.description.abstractWe examine possible configurations of stellar triple systems that give rise to "horseshoe orbits" in the smallest body. Several configurations are tested according to the initial parameters of mass for each of three bodies and position and velocity for the smallest body. The masses are arranged hierarchically, so as to mimic systems like Sun- Jupiter-Trojan. For a mass ratio of 1:10-4:10-8 known to produce horseshoe orbits, a grid search was performed on position and velocity of the small body to determine admissible initial conditions. Then, a strongly suitable initial condition was chosen to run another grid search on masses of the middle and small bodies. Choosing a criterion for stability of horseshoe orbits-given that they all decay-produced a timescale for stability, with (numerical) functional dependences on the middle and smaller masses. Fitting a power law for each resulted in exponents of k1, = -1.006 ± 0.006 and k2 = -1.047 ± 0.005 respectively, which we compare to related results from Murray & Dermott (1981a).en_US
dc.description.statementofresponsibilityby Bhaskaran Balaji.en_US
dc.format.extent47 pagesen_US
dc.language.isoengen_US
dc.publisherMassachusetts Institute of Technologyen_US
dc.rightsM.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.en_US
dc.rights.urihttp://dspace.mit.edu/handle/1721.1/7582en_US
dc.subjectPhysics.en_US
dc.titleMass ratios in stellar triple systems that admit horseshoe orbitsen_US
dc.typeThesisen_US
dc.description.degreeS.B.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Physics.en_US
dc.identifier.oclc963177537en_US


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