Megatorquer

	A	B	C	D	E	F
1	Parameter	Short	Expression	Value	Unit	Remark
2
3	Cubesat mass	M	Input-fixed	1.3	Kg	1U
4	Cubesat size	L	Input-fixed	0.1	m	1U
5	Magnetic field	B	Input-fixed	0.00004	T	mildly optimistic estimate
6	Wire resistivity	σ	Input-material	2.82E-08	Ωm	Beryllium=36e-9 Aluminium=28.2e-9 Copper=16.78e-9
7	Wire density	ρ	Input-material	2700	kg/m^3	Beryllium=1690 Aluminium=2700 Copper=8960
8	Torquer diameter	d	Input	0.0095	m	0.1 the same as sat dimmensions
9	Torquer mass fraction	f	Input	0.06923076923	-	3*0.03/1.3 the same as the 3x 30g commercial torquer
10	Coil shape factor 1	S1	Input	1.273239545	-	Circle=1, Rectangle = 4/PI
11	Coil shape factor 2	S2	Input	1	-	Circle=1, Rectangle = 4/PI
12	Coil shape factor 3	S3	Input	1	-	Circle=2/3, Rectangle = 1
13	Input power	P	Input-power	0.2	W	0.2 the same as the 3x 50g commercial torquer
14	Input voltage	U	Input	2	V	Same as the commercial one
15
16	inertia momentum ratio	q	3/2 S3 f / (1-f) * (Lc/L)^2	0.001006921488	-
17	match param	Q	2*√(q)/(1+q)	0.06340021339	-
18	inertia momentum sat	Ic	1/6(1-f)M*L^2	0.002016666667	Kg m^2	assumes uniform cube
19	inertia momentum torquer	It	S3fM*d^2/4	0.000002030625	Kg m^2
20	intertia mometum total	Is	Ic+It	0.002018697292	Kg m^2
21
22	magnetic momentum	M	√(P) /√(σρ)S1/S2/√(12S3)√(Ic)*√(q)	0.02684373368	Nm/T
23	torque		B√(P)/√(σρ)S1/S2/√(12S3)√(Ic)√(q)	0.000001073749347	Nm
24	angular acceleration	a	B√(P)/√(σρ)S1/S2/√(12S3)/√(Ic)*Q	0.0005319021093	rad/s^-2
25
26	wire area	Aw	1/U√(fMPσ/3/ρ)	0.0000001251665557	m^2
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28	angular acceleration	A	a*3600/2/pi	0.3047574597	RPM/min
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30	coil turns	N	U/(S2PId)√(fM/(3σρ*P))	2974.374923	-
31	wire diameter	Wd	1000 * 2 * √(Aw/pi)	0.000127	m
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33
34	Coil Size Inputs are Green
35	Material Inputs are Blue
36	Coil Diameter	0.0095	m
37	Coil Enclosing Area	0.0000177115625	m2
38	Wire Thickness	0.000127	m
39	Resitivity (Be)	3.60E-08	Ωm
40	Number of Turns	6000
41	Circumference	0.038	m
42	Wire Cross Sectional Area	1.27E-08	m2
43	Resistance	121.00	Ω
44	Input Power	2	W
45	Current	0.347	A
46	Torque	1.48E-06	Nm
47	Moment of Inertia of Sat	0.0022	kgm2
48	Angular Acceleration	6.81E-04	rad/s2
49	Angular Acceleration	0.39	RPM/min
50	Density of Wire (Be)	1690	kg/m3
51	Volume of Coil	2.89E-06	m3
52	Mass of Coil	4.88E-03	kg
53	Mass of Coil	4.88E-01	g
54	Magnetic Moment	0.04	Nm/T	0.000006145912188
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