starship-trajectory-calcs

	A	B	C	D	E	F	G	H	J
1	Gravity	9.807			Starship Engines Max Count	9
2	Gravity Loss Avg	6.538	2/3g		Starship Engines Avg Count	7
3	ISP Booster (avg)	346			Starship Engines thrust vacuum	260
4	ISP Starship (avg)	374			Desired final altitude	200,000
5	Engine Thrust	250
6	Orbital Velocity	7800			Hohmann to elliptical	17
7	Engine avg mass/sec	0.55	include throttle back		Hohmann to circular	17
8	Earth rotation at Boca Chica	427			Total delta V raise orbit to final	35
9	GM (mu)	3.99E+14
10	Earth Radius	6,378,000
11					Starship Dry Mass	140		8028.972622
12	Booster deltaV	2900	Primary Control Variable		Starship Landing fuel	30
13	Booster Dry Mass	250			Starship SECO Mass w/o cargo	170
14	Booster Engines	33
15	Booster Thrust	8250			Starship Start Mass	1828
16	TWR	1.50	Primary Control Variable		Starting TWR	1.28
17	Booster Initial Mass	5500			Starship Delta V Required	5934	includes cosine losses
18					Starship Final Mass	363
19	Booster+Starship Final Mass	2340	mf = e(ln(m0)-Δv/ve )		Mass Ratio	5.04
20	Fuel Used	3160			Starship Cargo	193
21	Boost Time	174			Fuel Used	1465
22	Gravity Losses	1138			Burn Time	381
23	Aerodynamic losses	50			Starship remaining deltaV	712	(for landing/deorbit)
24	Final Velocity	1712	rel. to Boca Chica		Final TWR @ Avg Thrust	5.02
25					Final altitude w/o Hohmann	141,951
26	Booster Angle at MECO	30	degrees		Starship Thrust Angle (from ground)	0.055	Primary Control Variable (radians)		3.151267873
27					Centripital Acceleration Avg	3.70	need a better estimate of this
28	Horizontal Velocity MECO	1910	includes earth rotation		Avg Vertical Acceleration	-5.42
29	Vertical Velocity MECO	855			Starship Apogee w/o Hohmann	141,951
30	MECO altitude	74,468			Time to Apogee w/o Hohmann	381	adjust thrust angle to get this equal to burn time
31	Apogee Projection at MECO	111,774	w/ no burns	151.0334142
32
33	Boost Back Cancel delta V	1,483
34	Boost Back Acceleration	39.23
35	Boost Back Angle	0.17	10	rad/deg
36	Vertical acceleration	-3.00
37	Horizontal acceleration	38.63
38	Boost Back Time	50.00	Main BoostBack Control
39	Boost Back Finish Vertical Vel.	705.65						Booster Only
40	Boost Back Altitude	113,495			Ox:Methane ratio	0.778	by mass
41	Boost Back FInish Horiz. Velocity	-449.08			Total Propellant	4,917		3,422
42	Boost Back Distance	47,187			Total Liquid Methane	1,093
43	Apogee	138,882			Total LOX	3,825
44	Time to Apogee	173.71			Liquid Methane Cost/Ton	$500	needs reference
45	Apogee Horizontal Distance	-78,011			LOX/ton	$100	needs reference
46	Vertical distance to 55km	83,882
47	Time to 55km	131			Total Fuel Cost	$928,854
48	55km horizontal distance	-58,736			Fuel Cost per kg cargo	$4.82
49	55km vertical velocity	-1,283
50	Drag factor to 30km	0.0
51	Time to 30km	19.5
52	30km horizontal distance	-8,752
53	30km vertical velocity	-1,283
54	vertical acceleration 30-10km	39	atmo drag + translation to horizontal velocity
55	time from 30km to 10km	20
56	final vertical velocity at 10km	#NUM!
57	10km horizontal distance	-8,928
58	horiz distance from MECO to 10km	-107,240	didn't account for horiz. velocity increase from 30-10 as Booster surfs the air
59
60	Booster Landing deltaV	500
61	Boost back return deltaV	449.08	Compare to https://space.stackexchange.com/questions/20246/what-is-this-debris-on-the-crs-10-reentry-at-t630/20275#20275
62	Total Booster Recovery deltaV	2432
63
64	Booster Mass MECO	512
65	Booster Recovery fuel	262	Lox	LCH4
66	Booster Total Fuel	3,422	2661.539735	760.4399243	2332.637805
67	Percent fuel used in Recovery	7.65%
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