Mathematics – Logic
Scientific paper
Sep 1970
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970cemec...2..351t&link_type=abstract
Celestial Mechanics, Volume 2, Issue 3, pp.351-351
Mathematics
Logic
Scientific paper
For 14 values of the mass parameter μ (from 0.0010 until 0.0150) the non-periodic Transtrojan orbits (aroundL 4 and L5) are investigated, which on the plane restricted problem of three bodies pass the point situated opposite to the body μ (looking from the main mass) with zero velocity in the rotating coordinate system. Results: The Transtrojan state contains a finite number of ‘double librations’ (aroundL 4 and L5); this number decreases with growing value of the mass parameter. Above a value of mass parameter between 0.010 and 0.015 no further double-libration takes place. Certain topologic properties of the Transtrojan state are found; for example this state has a phase of narrowing and a phase of widening of the single librations; thereby the amplitudes of the librations fluctuate in a characteristic manner. The investigations will be published inAstronomische Nachrichten in German language.
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