  Luka Popov has attempted to advance Machian physics by maintaining that the
heliocentric system must be replaced by Tycho Brahe's geocentric system. We
show that while geocentrism relies on Mach's contention that accelerations are
relative, this contention is untenable because, inter alia, the consequences of
an acceleration of an object with respect to the fixed stars cannot be
duplicated by acceleration of the stars with respect to this object and, if the
universe and a co-rotating observer have the same angular velocity, this motion
is detectable because they have different linear velocities. Also, geocentrism
precludes the relativity of accelerations and leads to an absolute space while
Mach argued against absolute space, Popov's result that the force exerted by
the Earth on the Sun depends on the square of the Sun's mass but is independent
of the Earth's mass is paradoxical, and the annual asymmetry of the Cosmic
Microwave Background falsifies all geocentric or 'Tychonic/Brahean) systems.
