(d) You now know the sum of the two masses, and their ratio as well: two equations for two variables. Follow these steps to calculate the mass of each stellar partner. 1. Rearrange your answer to (c) so that It reads m, = f. ma, with f being the ratio you just computed. 2. Insert that expression for m, Into the formula m, + ma = M, with M belng the total mass you computed in (b). This should provide an expression in which the only varlable is the mass of Sirius B. 3. Solve that expression for the mass of Sirius B, in solar units. 4. Subtract the mass of Sirius B from the total mass in order to get the mass of Sirius A in solar units. 5. Record each star's mass below. Sirius A Double-check your algebra and your arithmetic. Be sure that you have used the correct values for the semimajor axis, a, and the orbital period, P. solar masses Sirius B Double-check your algebra and your arithmetic. Be sure that you have used the correct values for the semimajor axis, a, and the orbital period, P. solar masses Sirius B is one of the most massive white dwarfs yet discovered. Its precursor star must have begun "life" with more mass than Sirlus A, since it evolved more rapidly. that mace ld have heen cast off Into outer enace after Sirlue R'e precureor became red giant Howey
(d) You now know the sum of the two masses, and their ratio as well: two equations for two variables. Follow these steps to calculate the mass of each stellar partner. 1. Rearrange your answer to (c) so that It reads m, = f. ma, with f being the ratio you just computed. 2. Insert that expression for m, Into the formula m, + ma = M, with M belng the total mass you computed in (b). This should provide an expression in which the only varlable is the mass of Sirius B. 3. Solve that expression for the mass of Sirius B, in solar units. 4. Subtract the mass of Sirius B from the total mass in order to get the mass of Sirius A in solar units. 5. Record each star's mass below. Sirius A Double-check your algebra and your arithmetic. Be sure that you have used the correct values for the semimajor axis, a, and the orbital period, P. solar masses Sirius B Double-check your algebra and your arithmetic. Be sure that you have used the correct values for the semimajor axis, a, and the orbital period, P. solar masses Sirius B is one of the most massive white dwarfs yet discovered. Its precursor star must have begun "life" with more mass than Sirlus A, since it evolved more rapidly. that mace ld have heen cast off Into outer enace after Sirlue R'e precureor became red giant Howey
Stars and Galaxies (MindTap Course List)
10th Edition
ISBN:9781337399944
Author:Michael A. Seeds
Publisher:Michael A. Seeds
Chapter11: The Formation And Structure Of Stars
Section: Chapter Questions
Problem 10P
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