Destination Orbit Plane Change

A launch loop oriented along the 8 degree south latitude line launches into a plane defined by that vector and the center of the Earth. The launch plane rotates, and orbits launched into one plane will need some north/south delta V to transition to a different plane.

The easiest place to change the orbital plane is at the apogee of a Highly Eccentric Earth Orbit (HEEO) such as a Construction Orbit. The apogee velocity of a one day construction orbit is 1021 m/s prograde; changing that to a retrograde orbit requires a delta V of 2042 m/s, and to a polar orbit requires 1444 m/s .

Less delta V is required for a higher orbit with a lower apogee velocity:

period

apogee

semimajor

eccentricity

apogee

perigee

launch

arrival

arrival

s. day

km

km

from apogee

V m/s

V m/s

V m/s

dV m/s

time hr

1

75950.34

42164.17

-0.8013005

1021.18

9257.46

10195.38

114.23

11.561

2

125484.89

66931.45

-0.8748272

630.56

9444.51

10364.29

72.94

23.421

3

167032.01

87705.01

-0.9044752

477.45

9518.89

10430.86

55.95

35.314

4

204116.10

106247.05

-0.9211460

392.41

9560.46

10467.91

46.32

47.222

5

238199.56

123288.78

-0.9320457

337.22

9587.54

10491.99

39.99

59.139

6

270068.04

139223.02

-0.9398232

298.02

9606.82

10509.10

35.46

71.062

7

300205.17

154291.59

-0.9457002

268.51

9621.36

10522.00

32.03

82.990

8

328935.36

168656.68

-0.9503251

245.35

9632.79

10532.12

29.32

94.922

9

356489.53

182433.77

-0.9540765

226.60

9642.05

10540.32

27.13

106.856

perigee is 2000 km altitude, launch and arrival from a 80 km altitude launch loop at 8° S latitude

Rocket launch from an island launch site offers more direct access to different orbital planes, and a launch from Vandenberg provides direct access to polar and retrograd orbits, but ... rockets are expensive. This should be used for passengers, not bulk payload that can tolerate multi-week journeys.

Loop launch to a construction station is assumed. At the construction station, vehicles will be assembled (with a bit heat shield!) and fueled for the plane change and subsequent delta V. The sequence:

Example: 1000 tonne module from a 5 day construction orbit to ISS

Plane change is cheaper for longer period construction orbits. ISS is in a 5550 second orbit, inclined 51.642° with an eccentricity of 0.0001694. Let's ignore eccentricity ( ±1.1 km radius) and J2 effects; the semimajor axis is 6775 km and the orbital velocity is 7670 m/s. A 5 day construction orbit has an apogee velocity of 337.22 m/s; changing that to a 51.642° orbit requires a delta v of 337.22 * 2 * sin( 51.642° / 2 ) = 294 m/s of delta V to complete plane change (1), added to some fraction of a 40 m/s retrograde thrust (2) to drop perigee into the 6478 km atmosphere.

Multiple atmosphere drag passes drop apogee to 6775 km radius. The resulting 6478 x 6775 km orbit has an apogee velocity of 7590 m/s; an 80 m/s apogee delta V (3) will rendezvous with ISS. This might be accomplished with a "net catcher" similar to the construction station, so that the ISS-associated catcher station can use a high-ISP electric engine and the cargo vehicle can be passive. Perhaps 320 m/s of total delta V needed for the plane change, most of it from high-ISP electric engines.

Strategic Consequences

An all-azimuth orbit-velocity rocket launch can deliver a nuclear weapon anywhere on Earth in less than an hour. A nuclear weapon could hypothetically deliver a weapon, but the delivery time would be days, during which time the weapon is vulnerable to intercept and destruction. The weapon would arrive at 10.5 km/s rather than 7.6 km/s; reentry heating and turbulence would more than double, greatly increasing vehicle mass and potentially disabling damage. This makes no strategic sense as a weapon delivery system; it is more costly and far easier to track and intercept. Assuming the construction station and the entry vehicle design process are monitored, this is vastly less of a strategic threat than a rocket launcher. Launch loops might be a potential threat to countries along the equator, but a "weapon system" that costs more than its target, and is far easier to destroy, is a Really Stupid weapon. It's like pulling the pin from a hand grenade, and throwing the pin rather than the grenade.

Some will still feel threatened, irrationally. The rational response is education and inclusion. If everyone on Earth benefits from a launch loop, insane people will still be a threat, but the sane people around them will have a strong incentive to prevent the insane people from damaging launch loops, and endure inspections and limits to preserve shared benefits.