On the Gravitational Field of Melons

While reading through my science textbook, I came across the following statement on page 111:

"A 1-kilogram melon held one meter above your head produces more microtides in your body than the moon over your head. Tell this to anyone who claims the gravitational attraction of the moon has an influence on humans!"

Out of curiosity, I decided to do some research into this. It is known that the intensity of the gravitational field E_A of a body A, with a mass m_A, at distance d_A, can be defined as:

I have gathered the following facts:

Table 1

Astrodynamic Constants and Parameters

Measurement	Value	Unit of measure	Symbol	Source
Moon's mass	7.3459 x 1022	kg	mMoon	WolframAlpha
Universal gravitational constant	6.673 x 10-11	N·m2 kg-2	G	Wikipedia.org
Earth's radius	6,375	km	rE	Big Bang (Book)
Average Earth-Moon distance	384,000	km	dEM	Big Bang (Book)

The other parameters in the quoted statement are:
Mass of the melon: m_melon = 1 kg
Distance between melon and head: d_mh = 1 m 
Then, I deduced the following formulas: 

When inserting the values presented in Table1, the following results are obtained:

 

When dividing E_Moon by E_Melon, one obtains the following ratio:

 

As these results show, the intensity of the gravitational field caused by the moon over your head is five orders of magnitude greater than the intensity of a field caused by holding a melon over one's head.

However, even though the moon's field is much stronger than the melon's field, the difference in field intensity between the top of the head and the soles of your feet is about 200 times greater for the melon. This difference is what creates microtides in the body. Even though the moon's field is stronger, the textbook might be right about the microtides, after all.

Works Cited

Singh, Simon. Big Bang: The Origin of the Universe. New York: Fourth Estate, 2004. Web.

"Experimental Feature." WolframAlpha: Computational Knowledge Engine. N.p., n.d. Web. 3 Jan. 2015.