The Earth is revolving around the Sun of mass $$M$$ in a circular orbit of radius $$r$$ with a period of revolution $$T=1\ \text{year}$$. Suppose that during the revolution of the Earth, at any instant, the mass of the Sun instantaneously becomes double, that is $$2M$$. The correct alternative or alternatives are, assuming that the Sun and the Earth are point masses,

A

The period of revolution of the Earth around the Sun now becomes $$\frac1{\sqrt2}\ \text{year}$$

B

There is no change in angular momentum of the Earth around the Sun

C

Minimum distance of the Earth from Sun during revolution is now $$\frac r3$$

D

Maximum speed of the Earth during revolution around the Sun is $$3\sqrt{\frac{GM}{r}}$$