  The idea of possible modification to gravity theory, whether it is in the
Newtonian or general relativistic premises, is there for quite sometime. Based
on it, astrophysical and cosmological problems are targeted to solve. But none
of the Newtonian theories of modification has been performed from the first
principle. Here, we modify Poisson's equation and propose two possible ways to
modify the law gravitation which, however, reduces to Newton's law far away
from the center of source. Based on these modified Newton's laws, we attempt to
solve problems lying with white dwarfs. There are observational evidences for
possible violation of the Chandrasekhar mass-limit significantly: it could be
sub- as well as super-Chandrasekhar. We show that modified Newton's law, either
by modifying LHS or RHS of Poisson's equation, can explain them.
