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The concept[ edit ] Clock with auxiliary dial displaying the equation of time. Piazza Dante, Naples During a year the equation of time varies as shown on the graph; its change from one year to the next is slight. Ignoring very slow changes in the Earth's orbit and rotation, these events are repeated at the same times every tropical year.

However, due to the non-integer number of days in a year, these dates can vary by a day or so from year to year. The curves reflect two astronomical effects, each causing a different non-uniformity in the apparent daily motion of the Sun relative to the stars: The equation of time is constant only for a planet with zero axial tilt and zero orbital eccentricity.

The planet Uranuswhich has an extremely large axial tilt, has an equation of time that makes its days start and finish several hours earlier or later depending on where it is in its orbit.

Sign of the equation of time[ edit ] There is no universally accepted definition of the sign of the equation of time.

Some publications show it as positive when a sundial is ahead of a clock, as shown in the upper graph above; others when the clock is ahead of the sundial, as shown in the lower graph. In the English-speaking world, the former usage is the more common, but is not always followed.

Anyone who makes use of a published table or graph should first check its sign usage. Often, there is a note or caption which explains it.

Otherwise, the sign can be determined by knowing that, during the first three months of each year, the clock is ahead of the sundial. The mnemonic "NYSS" pronounced "nice"for "new year, sundial slow", can be useful. Some published tables avoid the ambiguity by not using signs, but by showing phrases such as "sundial fast" or "sundial slow" instead.

The difference between apparent solar time and mean time was recognized by astronomers since antiquity, but prior to the invention of accurate mechanical clocks in the midth century, sundials were the only reliable timepieces, and apparent solar time was the generally accepted standard.

This Time is different from that shewn by Clocks and Watches well regulated at Land, which is called equated or mean Time.

When good mechanical clocks were introduced, they agreed with sundials only near four dates each year, so the equation of time was used to "correct" their readings to obtain sundial time. Some clocks, called equation clocksincluded an internal mechanism to perform this "correction".

Later, as clocks became the dominant good timepieces, uncorrected clock time, i. The readings of sundials, when they were used, were then, and often still are, corrected with the equation of time, used in the reverse direction from previously, to obtain clock time.

Many sundials, therefore, have tables or graphs of the equation of time engraved on them to allow the user to make this correction. Between the invention of accurate clocks in and the advent of commercial time distribution services aroundthere were three common land-based ways to set clocks.

Firstly, in the unusual event of having an astronomer present, the sun's transit across the meridian the moment the sun passed overhead was noted, the clock was then set to noon and offset by the number of minutes given by the equation of time for that date.

Secondly, and much more commonly, a sundial was read, a table of the equation of time usually engraved on the dial was consulted and the watch or clock set accordingly. These calculated the mean time, albeit local to a point of longitude.

The third method did not use the equation of time; instead, it used stellar observations to give sidereal timeexploiting the relationship between sidereal time and mean solar time.

Devices such as solar trackerswhich move to keep pace with the Sun's movements in the sky, frequently do not include sensors to determine the Sun's position. Instead, they are controlled by a clock mechanism, along with a mechanism that incorporates the equation of time to make the device keep pace with the Sun.

Johannes Kepler 's definition of the equation is "the difference between the number of degrees and minutes of the mean anomaly and the degrees and minutes of the corrected anomaly.The parameter represents the total moment in the track about a point on the ground.

In cases where the performance of a pair of tyres is being analysed without regards to a particular vehicle, the parameter is a convenient way to represent changes in lateral load transfer. The analysis procedure is as follows.

Determining the Equation of a Line From a Graph. Determine the equation of each line in slope intercept form. Graph: Show answer. Graph: Show answer Graph: Show answer. Graph: Show answer Mike can mow the same grounds in 5 hours; and Chris can mow the grounds in 4 hours.

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write the equation of the line in slope intercept form 5/5(1). Stall Speed at Clmax=initiativeblog.com - This appears only on the in-flight analysis, and only if the wing area and airframe weight were specified for the model.

It indicates the range of speeds which are at or below the aircraft's stall speed at the maximum lift coefficient (i.e. the speed below which the aircraft cannot fly).

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Equation of a Straight Line