Caption: Course Catalog - 1899-1900
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ASTRONOMY omy. I.; BRENKE. 7. Tu., Tk; 1 and 2; (2). Professor 189 MYERS and Mr. Required: THEORY Astronomy 4. OF ORBITS AND SPECIAL PERTURBATIONS.—This course embraces the following subjects: The formation and integration of the differential equations of motion of a system of bodies and the derivation of the laws of undisturbed elliptic, parabolic, and hyperbolic motion. An investigation of the various formulas and methods for finding the special perturbations of a heavenly body constitutes an essential part of this course. The methods of Encke, Hansen, and of Variation of Parameters, are developed and studied at length. Oppoher's Lehrbuch der Bahnbestimmung. Professor MYERS. Required: 9. Mathematics 1, 3, 7, 9, 14, 16; Astronomy 4. CELESTIAL MECHANICS.—This course is a continuation of course 7 and has to do chiefly with the development and discussion > of the absolute perturbations both for the case in which the orbital eccentricities and inclinations are small, and in which they are so large as to make the ordinary series too slowly convergent, or even divergent. Some time is also given to the study of subjects connected with figures of equilibrium of the heavenly bodies, and such other questions as are treated in Tisserand's Mecanique Celeste. Professor MYERS. Required: 10. Astronomy 7. ASTRONOMICAL SEMINARY AND THESIS.—The work of this seminary is on subjects either related to those considered in the senior courses, or connected with questions arising out of thesis investigations. This course is given in conjunction with Astronomy 7 and 9, or with Mathematics 12 and 13, according as the one or the other is current. /. and II.; Tu., Th.; 7; (2). Professor MYERS. 11. 12. 13. 14. CALCULUS OF VARIATIONS.—See Mathematics 20. SPHERICAL HARMONICS.—See Mathematics 21. POTENTIAL FUNCTION.—See Mathematics 22. OBSERVATIONAL ASTRONOMY.—The laboratory method of presentation is exclusively used in this course. Direct observational studies of celestial phenomena, with and without instrumental aid, constitute the major portion of the work. The problems set for solution will be largely individual and will be adapated to the degree of skill and maturity of the student. Advanced students may here find an introduction to the working methods of an astronomical observatory. In connection with Astronomy 5 it presents the underlying
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