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- Title
Dropping Bodies.
- Authors
Montgomery, Richard
- Abstract
The curves HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi>q</mi><mi>a</mi></msub><mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow></math> ht are parameterized by Newtonian time I t i . Your HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>q</mi><mi>a</mi></msub></math> ht must lie in Euclidean space HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mi mathvariant="double-struck">R</mi></mrow><mn>3</mn></msup></math> ht . The positive constants HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi>m</mi><mi>a</mi></msub><mo>,</mo><msub><mi>m</mi><mi>b</mi></msub></mrow></math> ht are the masses. This I R i is also known as central inversion: HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>R</mi><msub><mi>q</mi><mi>a</mi></msub><mo>=</mo><mo>-</mo><msub><mi>q</mi><mi>a</mi></msub></mrow></math> ht .
- Subjects
TRIANGLES; THREE-body problem; MECHANICS (Physics); PERIODIC motion; HAMILTONIAN systems; PLANE curves
- Publication
Mathematical Intelligencer, 2023, Vol 45, Issue 2, p168
- ISSN
0343-6993
- Publication type
Article
- DOI
10.1007/s00283-022-10252-4