SKU: 2419139437

Solving Kepler's Equation

Sale price$27.86 Regular price$30.95
Save 10%

Pay in installments of $7.74 with ShopPay, AfterPay and Klarna

Shipping Estimate
USA
  • USA
  • CAN

Ships within 48 hours · Estimated delivery Aug 12 - Aug 17

Promo Codes Available:

For Your Every Summer RSVP, with Code: SUMMER15

Description

Solving Kepler's EquationBy Colwell. Product Information: 6. 00" by 9. 00", 202 pages, hardbound, published 1993. The sole subject of Solving Kepler's Equation work is Kepler's Equation (KE) M = E e sin E . In its narrowest form, the Kepler problem is to solve KE for E , given M in the interval [0,p]and e in the interval [0,1]. In virtually every decade from 1650 to the present there have appeared papers devoted to the Kepler problem and its solution. We can see from a list

By Colwell.

Product Information: 6.00" by 9.00", 202 pages, hardbound, published 1993.

The sole subject of Solving Kepler's Equation work is Kepler's Equation (KE) M = E - e sin E . In its narrowest form, the Kepler problem is to solve KE for E , given M in the interval [0,p]and e in the interval [0,1]. In virtually every decade from 1650 to the present there have appeared papers devoted to the Kepler problem and its solution. We can see from a list of them that the problem has enticed a wide variety of scientists to comment on or involve themselves in its solution.

It is surely not unique in science for a specific problem to be given so much attention over so long a period—particularly if it resists solution, if its partial solutions are inadequate or unsatisfactory, or if it is recharged with new interpretations and new applications. Still, it is curious that the Kepler problem should have continued to be this interesting to so many for so long. Admittedly it is a problem central to celestial mechanics, but it is a technical little problem for which a number of satisfactory solutions are long known. With the advent of calculators and computers, there is no impediment to achieving quick solutions of great accuracy. The problem has neither the broad appeal of an Olbers Paradox, nor the depth and intractability of a many-body problem.

In common with almost any scientific problem which achieves a certain longevity and whose literature exceeds a certain critical mass, the Kepler problem has acquired an undeniable luster and allure for the modern practitioner. Any new technique for the treatment of transcendental equations should be applied to this illustrious test case; any new insight, however slight, lets its conceiver join an eminent list of contributors.

The Kepler problem has been “on the scene” in Western civilization science for over three centuries. To gather its story is to view this science through a narrow-band filter, and our goal is to make the picture at one wavelength instructive and interesting.

The idea to gather all the work on the Kepler problem is not new. Early work was surveyed in Melander,1767, Detmoldt,1798 and Brinkley,1803, and much of the recent work was described in Danby,1983, Burkhardt,1983 and Gooding,1985. In addition, various partial bibliographies have appeared which contain extensive references to the Kepler problem. Perhaps the most cited has been Radau,1900; others are Struve,1860, Houzeau,1882, Herglotz,1910, and Wood,1950.

Our concern will be almost exclusively for the elliptic case of Kepler's problem. What coverage we attempt of the hyperbolic case will appear in Chapter 8 when we look at universal forms of KE, and the parabolic case, e = 1, will be considered in Chapter 5, where treatments for high eccentricity (e near 1) cases are gathered. Related to KE and the Kepler problem is the subject of Lambert's theorem and the Lambert orbital problem. Except for a few bibliography entries, we won't describe this area at all, even though it has an extensive literature and independent interest. The references [Gooding,1988,1990] are to be recommended for a look at the subject.

In the language of the mathematician, there exists a unique solution of the Kepler problem, but there are many methods to describe or approximate it. It isn't feasible to say how many there are: the meaning of ""solution"" depends too much on the solver's motivations. In our classification of references bearing on KE which appear in the Bibliography, we have made seven primary categories and five secondary categories of methods of solution. These have been adequate to describe almost all our references.

Shipping Notes
  • Free Standard Shipping on $100+ Orders to the USA.
  • Except Preorder products are shipped in 48 hours.
  • Delivery to the USA:
  1. Standard Shipping : 3-10 business days
  • If time is of the essence, please consider selecting expedited delivery for faster service.
Exchange/Return Notes
  • We offer a 30-day return/exchange service after receiving.
  • Final sale items are not eligible for returns or exchanges.
  • To process your return/exchange, please contact us at [email protected]
  • Please click here for more details>>> Return & Exchange Policy
SKU: 2419139437

Discover Niche Categories That Outsell

Top-Converting Item to Boost Your Average Order

4.6 ★★★★★
Based on 26 reviews
Sort
Highest Rating
Newest First
Oldest First
Product Reviews
J
Verified Purchase
Johanna Duska
Natrona Heights, US
★★★★★ 5
Perfect Lightweight Sheets for Sensitive Hot sleepers
Color: Cream, Size: Queen
These sheets are soft, thin, and absolutely perfect for me. I have advanced CRPS and erythromelalgia, so I deal with severe nerve burning and heat sensitivity and cannot tolerate being overheated at all. I keep our AC between 56–64 degrees constantly, and since our studio is small, it usually stays around 61–63. These sheets have been a lifesaver for sleep. They are lightweight, breathable, and don’t trap heat, which helps me avoid extreme flare-ups and the intense burning pain I deal with. I'm bedridden so I need to be comfortable. They feel comfortable against my skin and don’t worsen my symptoms when I’m already in a lot of pain and look nice, wash nicely. For the price, they are also a great value. I’m genuinely grateful to have found something that helps me rest more comfortably. Will be buying more for us and gifts.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 24, 2026
Y
Verified Purchase
Yudelkys del Toro
Grantham, US
★★★★★ 5
Sheet set
Color: Burgundy, Size: Queen
This lightweight microfiber sheet set stands out for its softness, comfort, and elegant design. Its fabric feels cool to the touch, withstands daily use, and is easy to wash, retaining its vibrant color wash after wash. It is an excellent choice for adding a cozy and sophisticated touch to the bedroom at an affordable price.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 22, 2026
A
Verified Purchase
ashlee
Pawtucket, US
★★★★★ 5
Great set of sheets
Color: Blue Pinstripe, Size: Twin
These microfiber sheets are incredibly soft and comfortable, especially for the price. I purchased the blue and white set for my daughter’s bed, and she loves them. The colors are bright and exactly as pictured. They fit the mattress well, don’t slip off the corners, and wash up nicely without pilling or fading. The brushed microfiber feels cozy and lightweight, making them great for year-round use. Overall, a great value and I would definitely buy another set.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 29, 2026
C
Verified Purchase
Chansis Crpz
Fort Morgan, US
★★★★★ 5
Bold Colors, Great Quality, and an Amazing Price - Perfect Everyday Sheets
Color: Black, Size: Full
The Amazon Basics lightweight bed sheets have been such a great buy for my boys’ bedrooms. They come in a wide variety of colors, which made it easy to match each room’s style — and the colors stay bold and vibrant even after multiple washes, which honestly surprised me. The quality is excellent for the price. The fabric stays soft, doesn’t pill, and holds up well to frequent washing (a must in kids’ rooms!). Each set includes a fitted sheet, flat sheet, and two pillow shams, which makes the value even better — most sets at this price point don’t include that many pieces. Overall, these sheets are affordable, durable, colorful, and comfortable. I loved them enough to buy them in multiple colors, and they’ve held up beautifully. A fantastic budget-friendly choice for any household.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 31, 2026
Y
Verified Purchase
Yamilet Suárez
Birmingham, US
★★★★★ 5
Soft and Comfortable Sheets for Everyday Use
Color: Frosted Lavender, Size: Twin, Color: Frosted Lavender, Size: Twin
I really like these sheets. They are soft, lightweight, and fit my twin mattress perfectly. The lavender color looks beautiful in person and they feel comfortable to sleep on. After washing, they still looked nice and didn’t wrinkle much. Great quality for the price!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 21, 2026

recommand products