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Groups > comp.sys.mac.advocacy > #149932

Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing.

From Alan <nuh-uh@nope.com>
Newsgroups comp.sys.mac.advocacy, comp.sys.mac.system, comp.mobile.android, misc.phone.mobile.iphone
Subject Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing.
Date 2026-10-29 10:35 -0700
Organization A noiseless patient Spider
Message-ID <11c0058$3ievq$1@dont-email.me> (permalink)
References (3 earlier) <11bsv25$2fiio$1@dont-email.me> <11btgii$2mqm5$1@dont-email.me> <11btpvt$2qkb3$1@dont-email.me> <11btqau$2qnvk$1@dont-email.me> <11bvbnb$3a2ck$1@dont-email.me>

Cross-posted to 4 groups.

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On 2026-10-29 04:46, Tom Elam wrote:
> On 10/28/26 5:43 PM, Alan wrote:
>>> You corrected me on the local rules and I accepted and respected your 
>>> reply.
>> Only after arguing it ENDLESSLY.
>>
>> I'll tell you one little thing:
>>
>> The line IN to the middle of a corner...
>>
>> ...from braking to speed necessary to simply negotiate it...
>>
>> ...forms a parabola...
>>
>> ...for any corner up to 90 degrees.
> 
> NO! It's a lot mope complicated. Google "is a parabola always fastest 
> racing line" please. But you won't, so I will save you the trouble:

1. So you think AI is right.

As I said: you should quite when you're behind.

> 
> Quote:
> 
> No, a parabola is not always the fastest racing line.
> While a symmetric parabolic line (often associated with trail braking 
> into a pinched corner and an early throttle-out) works well for certain 
> isolated or specific turn types, the absolute fastest racing line 
> depends heavily on the context of the track.

Ummmm....nope.

> 
> Why a Parabola Isn't Always Fastest
> 
> • Corner Isolation vs. Sequences: A geometric or parabolic line assumes 
> a corner exists in complete isolation. On a real track, corners connect 
> to other corners, hairpins, or straights, meaning you must compromise 
> entry or mid-corner speed to maximize acceleration onto the most 
> important or longest straight.

Whether or not you need to compromise entry changes many things, but for 
the braking phase of a corner, the object is to change the vector of the 
car's velocity in the most efficient way possible.

> 
> • Car Performance and Power: For low-power cars, prioritizing a late 
> apex to get on the throttle earlier outweighs maintaining a smooth 
> parabolic mid-corner speed. For high-power or heavy cars, the physics of 
> weight transfer and tire grip change the ideal curve.

Not during the braking phase.

It changes what the precise VALUES are, but the shape is still parabolic.

> 
> • Alternative Mathematical Curves: True mathematical optimizations for 
> race tracks frequently use Euler spirals (clothoids) or compound curves 
> rather than a simple parabola to transition smoothly between straight- 
> line braking, steady turning radius, and full-throttle exit.

And that's going back to what was already wrong.

> 
> • Defensive Driving and Traffic: Real-world racing requires adjusting 
> lines to block competitors, avoid marbles/debris off-line, or manage wet 
> weather grip, overriding pure theoretical geometry.

And that's outside the scope of the discussion.

> 
> End quote
> 
> Hmmmm
> 
> Maybe your mistaken belief in parabolic racing lines helps explain how 
> McKay, McColl and Floer beat you so often.

LOL!

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Thread

How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Alan <nuh-uh@nope.com> - 2026-10-23 13:00 -0700
  Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Tom Elam <thomas.e.elam@gmail.com> - 2026-10-26 07:38 -0400
    Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Alan <nuh-uh@nope.com> - 2026-10-26 11:55 -0700
      Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Tom Elam <thomas.e.elam@gmail.com> - 2026-10-28 09:19 -0400
        Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. -hh <recscuba_google@huntzinger.com> - 2026-10-28 11:37 -0400
          Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Tom Elam <thomas.e.elam@gmail.com> - 2026-10-28 17:32 -0400
            Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. -hh <recscuba_google@huntzinger.com> - 2026-10-29 07:50 -0400
              Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Tom Elam <thomas.e.elam@gmail.com> - 2026-10-29 13:55 -0400
                Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. -hh <recscuba_google@huntzinger.com> - 2026-10-29 16:38 -0400
                Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Tom Elam <thomas.e.elam@gmail.com> - 2026-10-30 10:27 -0400
                Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. -hh <recscuba_google@huntzinger.com> - 2026-10-30 11:54 -0400
  Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Tom Elam <thomas.e.elam@gmail.com> - 2026-10-26 11:49 -0400
    Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Alan <nuh-uh@nope.com> - 2026-10-26 11:34 -0700
      Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Tom Elam <thomas.e.elam@gmail.com> - 2026-10-28 09:58 -0400
        Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Alan <nuh-uh@nope.com> - 2026-10-28 11:57 -0700
          Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Tom Elam <thomas.e.elam@gmail.com> - 2026-10-28 17:38 -0400
            Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Alan <nuh-uh@nope.com> - 2026-10-28 14:43 -0700
              Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Tom Elam <thomas.e.elam@gmail.com> - 2026-10-29 07:46 -0400
                Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Alan <nuh-uh@nope.com> - 2026-10-29 10:35 -0700
                Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Tom Elam <thomas.e.elam@gmail.com> - 2026-10-29 14:17 -0400
                Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Alan <nuh-uh@nope.com> - 2026-10-29 11:40 -0700
                Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Tom Elam <thomas.e.elam@gmail.com> - 2026-10-30 10:41 -0400
                Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Alan <nuh-uh@nope.com> - 2026-10-30 10:24 -0700
                Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Tom Elam <thomas.e.elam@gmail.com> - 2026-10-30 14:39 -0400
                Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Alan <nuh-uh@nope.com> - 2026-10-30 11:57 -0700
                Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Alan <nuh-uh@nope.com> - 2026-10-29 11:14 -0700
                OT: And the coward ducked out of this one... (was Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Alan <nuh-uh@nope.com> - 2026-10-30 10:26 -0700
  Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. "Joel W. Crump" <joelcrump@gmail.com> - 2026-10-27 18:15 -0400
    Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Brock McNuggets <brock.mcnuggets@gmail.com> - 2026-10-27 15:56 -0700
  Re: How badly Arlen/Maria gets it wrong: the catenary curve and road racing. Chris <ithinkiam@gmail.com> - 2026-10-28 08:08 +0000

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