Fix typos

[NattyBumppo]

Fixes #41 .

[NattyBumppo]

A lot of files are changed here, sorry!

[bryanwweber]

Thanks again for the thorough proof-reading! Based on the discussion in the related issue, I made a few suggestions and marked 👍 on the changes I think make sense to keep as-is. That said, I bet there are cases where I was inconsistent with the advice from the style manuals in the other direction (that is, I incorrectly capitalized in a few cases). I don't expect you to go through and look for those, though 😄

[bryanwweber]

Emphasizing the acronym here.

Suggested change

	2. Rotating at the same rate as the Earth, with its origin at the center of the Earth—the Earth-centered, Earth-fixed (ECEF) frame, $x'$, $y'$, and $z'$
	2. Rotating at the same rate as the earth, with its origin at the center of the earth—the Earth-Centered, Earth-Fixed (ECEF) frame, $x'$, $y'$, and $z'$

[NattyBumppo]

I changed it to your suggestion, except I kept "Earth" capitalized in all instances in that sentence.

[NattyBumppo]

@bryanwweber Thanks for your comment about Chicago and MLA. I am aware of those standards, but since this is an astrodynamics guide, not a liberal arts paper, I think that there are better style guides to use than MLA or Chicago, which are not typically used for scientific or engineering texts.

• NASA capitalizes Earth, Moon, and the Sun in all instances when these words refer to the celestial bodies, regardless of use of the word "the." They use the U.S. Government Publishing Office Style Manual. This guide says:

3.31. Capitalize the names of the celestial bodies as well as the planets.
Sun Mars Alpha Centauri
Moon the Big Dipper Orion
Saturn Ceres the Milky Way
Earth Kepler-1647b but the moons of Jupiter

• The IEEE specifies in their IEEE Editorial Style Manual for Authors (the most commonly-used style guide for engineering-related papers and books):

Earth should be capitalized when referring to the planet.

(They do not specifically call out rules related to other celestial bodies.)

• The International Astronomical Union (IAU) writes the following in their Naming of Astronomical Objects page (which is now giving a 404 for some reason -- so I linked an Internet Archive page instead -- but which was present for many years on their website):

Questions have been asked about the proper English spelling of names of astronomical objects, especially as regards capitalization of such names.

The IAU formally recommends that the initial letters of the names of individual astronomical objects should be printed as capitals (see the IAU Style Manual, Trans. Int. Astron. Union, volume 20B, 1989; Chapter 8, page S30 – PDF file); e.g., Earth, Sun, Moon, etc. "The Earth's equator" and "Earth is a planet in the Solar System" are examples of correct spelling according to these rules.

As such, I stick by my capitalization of Moon, Earth, and Sun. Please read the above and let me know what you think.

[bryanwweber]

Thanks @NattyBumppo ! Those do seem more authoritative in this situation. I appreciate the thorough research; I'm annoyed and embarrassed that they didn't show up in my search! I resolved all the unnecessary comments, if you want to resolve the one remaining and pull over the Wast fix, this looks good to me ☺️

[NattyBumppo]

Okay, I think all of my changes are in now. Please confirm @bryanwweber

[bryanwweber]

Sorry it's taking so long for me to get back to you here @NattyBumppo ! Just been very busy, I haven't forgotten about this 😁

[NattyBumppo]

Sorry it's taking so long for me to get back to you here @NattyBumppo ! Just been very busy, I haven't forgotten about this 😁

No worries @bryanwweber . I'm reading through your book chapter by chapter and finding little minor corrections here and there. It's been a good way to brush up on my rusty astro knowledge. I'll have another PR for you before too long so I hope you don't mind 😅