Relativistic Navigation Needed for Solar Sails

If we’re ever going to travel a significant distance from Earth, we’re going to have to break our dependence on chemical propulsion systems. It’s just not possible to carry enough chemical propellant to get up to a decent trot.

An alternative is a solar sail, which uses the force of solar radiation pressure to accelerate. By one calculation, a solar sail with a radius of about a kilometer and a mass of 300 kg (including 150 kg of payload) would have a peak acceleration of about 0.6 g if released on a parabolic trajectory about 0.1 astronomical unit (AU) from the sun (where the radiation pressure is higher).

That kind of acceleration would take it beyond the Kuiper belt to the heliopause, the boundary between the solar system and interstellar space (and a distance of 200 AU), in only 2.5 years.

In 30 years, a solar sail could travel 2,500 AU, far enough to explore the Oort Cloud.

But such a journey may not be smooth sailing, particularly when it comes to navigation, say Roman Kezerashvili and Justin Vazquez-Poritz, physicists at the City University of New York. They claim that ordinary Newtonian physics just doesn’t cut it for this kind of journey.

The problem is that the sail would have to be launched so close to the sun that the effects of general relativity, such as the precession of the perihelion of orbiting objects, have to be taken into account. And even though those effects are relatively minor to start with, they have a significant effect over long distances.

The calculations carried out by Kezerashvili and Vazquez-Poritz show that the effects of general relativity could push a solar sail off course by as much as a million kilometers by the time it reaches the Oort Cloud and that even tiny relativistic forces such as frame dragging could cause a deflection of 1,000 kilometers.

What these guys are saying is that the interstellar navigators will have to be proficient in a new discipline of relativistic navigation.

That won’t be an issue for a while, though. The most optimistic estimate for the launch of such a mission is around 2040.

Ref: arxiv.org/abs/0907.3336: Escape Trajectories of Solar Sails and General Relativity