Calculating Black Hole Mass Using Reduced Mass and De Broglie's Wavelength

[Enlighted One]

Homework Statement

You are aboard Spaceship headed toward a planet. The planet utilizes a nearby compact gamma ray emitting black hole as a power and transportation source. You have been approaching Congress for a couple of weeks and obtained the below data.

1. Using the below data find the mass of the Blackhole. In order to answer this question, you will need to study the concept of “Reduced Mass”.

Black hole:http://www.geocities.com/dd40001/rap1.jpg
Planet:http://www.geocities.com/dd40001/rap2.jpg

Homework Equations

As far as a I know the only one is the reduced mass one, and possibly the one from de Brogeli one relating to wavelength

The Attempt at a Solution

I am having trouble even getting off the ground for this problem, if anyone can just help me see the relevant way to get started I would greatly appreciate it.

 

[tiny-tim]

Welcome to PF!

Welcome, O Enlighted One!

Homework Equations

As far as a I know the only one is the reduced mass one, and possibly the one from de Brogeli one relating to wavelength

erm … enlighten us …

what are those equations? ​

 

[Enlighted One]

Reduced mass: $$m_\text{red} = \mu = \cfrac{1}{\cfrac{1}{m_1}+\cfrac{1}{m_2}} = \cfrac{m_1 m_2}{m_1 + m_2},\!\,$$

De Broglie's wavelength:$$\lambda = \frac{h}{p}$$

I don't see how to relate the data given to mass tough.