I don't understand how to solve for (d) and need some help understanding the equation. ASI Course Modules: AST XVAL Binary Stars - AST XI https://asu-online.yel xI 17.3 The Spectra of St XASI Module 5: Overview a ×Foundations of Crimin X+webassign.net/web/Student/Assignment-Responses/submit?dep=25854841&tags=autosave#question4313116_1GUSIng thE values labulateu just aboVe, wilal IS the mtali distaICE SEpaating SITUS A dnd Sinus b? (Citel youi aisVEI IT AU T0 at ledst ofne deCImal piaCE.)a = | 19.8AU(b) The combined mass of the two stars in the Sirius system is related to the orbital period (given above) and the semimajor axis (computed in the previous step), using thisformula:(mA + mg)P2 = MP²a31. First, cube the semimajor axis (leaving it in units of AU).2. Next, square the orbital period (leaving it in Earth years).3. Finally, divide a by p2.This is the combined mass of Sirius A and B, in units of solar masses.М — т+ m= 3.093solar masses(c) From observations of the relative positions of Sirius A and Sirius B, astronomers know that the two stars have the following distances from the system's center of mass(when they are at their greatest separation).= 10.0 AUd3 == 21.5 AUCalculate the ratio of the two stars' masses by using these two numbers, along with the mass ratio formula under the heading "Kepler's Third Law and Binary Stars"above.= 2.15mB(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.mB, with f being the ratio you just computed.M, with M being the total mass you computed in (b). This should provide an expression in which the1. Rearrange your answer to (c) so that it reads m,= f•2. Insert that expression for m, into the formula m,+ mBonly variable 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.SiriusADouble-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 massesSiriusВDouble-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.4:24 PMsolar masses2/25/2021Sirius B is one of the most massive white dwarfs yet discovered. Its precursor star must have begun "life" with more mass than Sirius A, since it evolved more rapidly.However, much of that mass would have been cast off into outer space after Sirius B's precursor became a red giant.(8)... ASI Course Modules: AST XVAL Binary Stars - AST XI https://asu-online.yel xI 17.3 The Spectra of Si XASI Module 5: Overview a ×Foundations of Crimin X+webassign.net/web/Student/Assignment-Responses/submit?dep=25854841&tags=autosave#question4313116_1GSirius A and B have been studied for three complete orbits, ever since the secondary star's discovery in 1862. The following parameters are well established for this historicallysignificant visual binary.orbital periodP = 50.1 Earth yearsclosest approachd min8.1 AUgreatest separationd.max= 31.5 AU(a) Under the heading "Kepler's Third Law and Binary Stars" above, we learned that the semimajor axis, a, or mean separation, is simply the average of d and dmax:minUsing the values tabulated just above, what is the mean distance separating Sirius A and Sirius B? (Enter your answer in AU to at least one decimal place.)a = | 19.8AU(b) The combined mass of the two stars in the Sirius system is related to the orbital period (given above) and the semimajor axis (computed in the previous step), using thisformula:(ma + mg)P2 = MP² = a³%D1. First, cube the semimajor axis (leaving it in units of AU).2. Next, square the orbital period (leaving it in Earth years).3. Finally, divide a by p2.This is the combined mass of Sirius A and B, in units of solar masses.M = mA= 3.093solar masses+mB%D(c) From observations of the relative positions of Sirius A and Sirius B, astronomers know that the two stars have the following distances from the system's center of mass(when they are at their greatest separation).dA= 10.0 AU= 21.5 AUCalculate the ratio of the two stars' masses by using these two numbers, along with the mass ratio formula under the heading "Kepler's Third Law and Binary Stars"above.mА2.15(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•mB, with f being the ratio you just computed.2. Insert that expression for mainto the formula ma+ m3 = M, with M being the total mass you computed in (b). This should provide an expression in which the%3D4:24 PMonly variable 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.2/25/2021(8)

(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

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...