## Find a copy in the library

Finding libraries that hold this item...

## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Zdenek Kopal; BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB. |

OCLC Number: | 227537697 |

Description: | 52 p. |

Series Title: | Boeing Scientific Research Laboratories Document, D1-82-D845.; Mathematical note, no. 602. |

### Abstract:

The air of the report will be to introduce a new system of curvilinear coordinates--hereafter referred to as Roche coordinates--in which spheres of constant radius are replaced by equipotential surfaces of a rotating gravitational dipole (which consists of two discrete points of finite mass, revolving around their common center of gravity); while the remaining coordinates are orthogonal to the equipotentials. It will be shown that the use of such coordinates offers a new method of approach to the solution of certain problems of particle dynamics (such as, for instance, the construction of certain types of trajectories in the restricted problem of three bodies); as well as of the hydrodynamics of gas streams in close binary systems, in which the equipotential surfaces of their components distorted by axial rotation and mutual tidal interaction constitute essential boundary conditions. (Author).

## Reviews

*User-contributed reviews*

Add a review and share your thoughts with other readers.
Be the first.

Add a review and share your thoughts with other readers.
Be the first.

## Tags

Add tags for "The roche coordinates and their use in celestial mechanics or hydrodynamics.".
Be the first.

## Similar Items

### Related Subjects:(17)

- Celestial Mechanics.
- Fluid Mechanics.
- (Nbody problem.
- Transformations(mathematics))
- (Hydrodynamics.
- Equations)
- Potential theory.
- Equations of motion.
- Gravity.
- Differential equations.
- Geometry.
- EQUIPOTENTIAL SURFACES
- Celestial mechanics.
- Hydrodynamics.
- Coordinates.
- Curvilinear coordinates.
- Roche equipotentials.