Lunar-solar tidal overlap and continent effect

Storyboard

The overlap of lunar and solar tides leads to either more extreme tides or compensatory effects that reduce them. Additionally, there is discussion about the effect of water being unable to move freely due to the presence of continents.

>Model

ID:(1577, 0)



Lunar-solar tidal overlap and continent effect

Storyboard

The overlap of lunar and solar tides leads to either more extreme tides or compensatory effects that reduce them. Additionally, there is discussion about the effect of water being unable to move freely due to the presence of continents.

Variables

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$d$
d
Celestial object planet distance
m
$h_x$
h_x
Height of the tide in the direction of the star
m
$h_y$
h_y
Height of the tide perpendicular to the direction towards the star
m
$\theta$
theta
Latitude of the place
rad
$M$
M
Masa del cuerpo que genera la marea
kg
$R$
R
Planet radio
m
$G$
G
Universal Gravitation Constant
m^3/kg s^2

Calculations


First, select the equation:   to ,  then, select the variable:   to 

Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

 Variable   Given   Calculate   Target :   Equation   To be used



Equations


Examples


mechanisms

If one studies tide records worldwide, it is observed that:

• There are two tides per day.
• During full moon and new moon, tides are higher.
• During waxing and waning crescents, tides are lower.

image

The terms "spring tide" and "neap tide" mean:

• Spring tide = high tide

• Neap tide = low tide

When the moon is at a right angle with respect to the Earth-Sun direction, the tides are partially counteracted. This happens every time there is a first quarter or last quarter moon.

image

When the sun and the moon align, the tides combine, creating a higher tide. This occurs every time there is a full moon (moon in opposition to the sun) or a new moon (moon aligned with the sun).

image

An extreme example is illustrated in the following image of Alma, New Brunswick, Canada, in the Bay of Fundy. This tide surpasses by far the maximum value that occurs when the sun and moon align (24.42 cm + 53.5 cm = 77.92 cm). The reason for this is the displacement of water, which is halted by the American continent, leading to this accumulation.

image

If we observe the measurements of the highest tides on the planet, we can see that:

• They occur along coastlines because water accumulates when it encounters obstacles such as the coastline.
• Waves are formed that have nodes, points where the sea level does not vary.

image


model

The change in acceleration implies that the column of water experiences a different pressure unless the depth adjusts. Achieving a steady state involves precisely this. The modification of gravitational acceleration is compensated by a change in depth corresponding to the tide:

equation=13215



With the variation on the conjunction side with list=11650

equation=11650



and with list=11649

equation=11649



It follows that the surface rises with list in

kyon

where only the variable part of the variation was taken into account, since the term $GM/d^2$ acts on the entire system and does not create differences.

The change in acceleration means that the column of water experiences a different pressure unless the depth adjusts. To achieve a steady state, this is precisely what happens. The modification of gravitational acceleration is compensated by a change in depth corresponding to the tide:

equation=13216



With the variation on the side of conjunction with list=11645

equation=11645



As a result, the surface rises with list at

kyon

The change in acceleration implies that the column of water experiences a different pressure unless the depth adjusts. Achieving a steady state involves precisely this. The modification of gravitational acceleration is compensated by a change in depth corresponding to the tide:

equation=13215



With the variation on the conjunction side with list=11650

equation=11650



and with list=11649

equation=11649



It follows that the surface rises with list in

kyon

where only the variable part of the variation was taken into account, since the term $GM/d^2$ acts on the entire system and does not create differences.

The change in acceleration means that the column of water experiences a different pressure unless the depth adjusts. To achieve a steady state, this is precisely what happens. The modification of gravitational acceleration is compensated by a change in depth corresponding to the tide:

equation=13216



With the variation on the side of conjunction with list=11645

equation=11645



As a result, the surface rises with list at

kyon


>Model

ID:(1577, 0)



Mechanisms

Definition


ID:(15442, 0)



Explaining tides, a video

Image


ID:(11659, 0)



Tidal Example

Note

If one studies tide records worldwide, it is observed that:

• There are two tides per day.
• During full moon and new moon, tides are higher.
• During waxing and waning crescents, tides are lower.

The terms "spring tide" and "neap tide" mean:

• Spring tide = high tide

• Neap tide = low tide

ID:(11637, 0)



Neaps Tides

Quote

When the moon is at a right angle with respect to the Earth-Sun direction, the tides are partially counteracted. This happens every time there is a first quarter or last quarter moon.

ID:(11642, 0)



Spring Tides

Exercise

When the sun and the moon align, the tides combine, creating a higher tide. This occurs every time there is a full moon (moon in opposition to the sun) or a new moon (moon aligned with the sun).

ID:(11641, 0)



Example of extreme tides

Equation

An extreme example is illustrated in the following image of Alma, New Brunswick, Canada, in the Bay of Fundy. This tide surpasses by far the maximum value that occurs when the sun and moon align (24.42 cm + 53.5 cm = 77.92 cm). The reason for this is the displacement of water, which is halted by the American continent, leading to this accumulation.

ID:(11660, 0)



Distribution of tidal heights on the planet

Script

If we observe the measurements of the highest tides on the planet, we can see that:

• They occur along coastlines because water accumulates when it encounters obstacles such as the coastline.
• Waves are formed that have nodes, points where the sea level does not vary.

ID:(11638, 0)



Model

Variable


ID:(15438, 0)