Put anything into an array using Array.push().

var a=[], b={};
a.push(b);    
// a[0] === b;

Extra information on Arrays

Add more than one item at a time

var x = ['a'];
x.push('b', 'c');
// x = ['a', 'b', 'c']

Add items to the beginning of an array

var x = ['c', 'd'];
x.unshift('a', 'b');
// x = ['a', 'b', 'c', 'd']

Add the contents of one array to another

var x = ['a', 'b', 'c'];
var y = ['d', 'e', 'f'];
x.push.apply(x, y);
// x = ['a', 'b', 'c', 'd', 'e', 'f']
// y = ['d', 'e', 'f']  (remains unchanged)

Create a new array from the contents of two arrays

var x = ['a', 'b', 'c'];
var y = ['d', 'e', 'f'];
var z = x.concat(y);
// x = ['a', 'b', 'c']  (remains unchanged)
// y = ['d', 'e', 'f']  (remains unchanged)
// z = ['a', 'b', 'c', 'd', 'e', 'f']

var years = [];
for (i= 2015;i<=2030;i=i+1){
    years.push({operator : i})
}

here array years is having values like

years[0]={operator:2015}
years[1]={operator:2016}

it continues like this.

First of all, there is no object or array. There are Object and Array. Secondly, you can do that:

a = new Array();
b = new Object();
a[0] = b;

Now a will be an array with b as its only element.

Using ES6 notation, you can do something like this:

For appending you can use the spread operator like this:

var arr1 = [1,2,3]
var obj = 4
var newData = [...arr1, obj] // [1,2,3,4]
console.log(newData);

• JavaScript is case-sensitive. Calling new array() and new object() will throw a ReferenceError since they don't exist.
• It's better to avoid new Array() due to its error-prone behavior.
  Instead, assign the new array with = [val1, val2, val_n]. For objects, use = {}.
• There are many ways when it comes to extending an array (as shown in John's answer) but the safest way would be just to use concat instead of push. concat returns a new array, leaving the original array untouched. push mutates the calling array which should be avoided, especially if the array is globally defined.
• It's also a good practice to freeze the object as well as the new array in order to avoid unintended mutations. A frozen object is neither mutable nor extensible (shallowly).

Applying those points and to answer your two questions, you could define a function like this:

function appendObjTo(thatArray, newObj) {
  const frozenObj = Object.freeze(newObj);
  return Object.freeze(thatArray.concat(frozenObj));
}

Usage:

// Given
const myArray = ["A", "B"];
// "save it to a variable"
const newArray = appendObjTo(myArray, {hello: "world!"});
// returns: ["A", "B", {hello: "world!"}]. myArray did not change.

/* array literal */
var aData = [];

/* object constructur */
function Person(firstname, lastname) {
  this.firstname = firstname;
  this.lastname = lastname;
  this.fullname = function() {
    // return (this.firstname + " " + this.lastname);
    return (`${this.firstname} ${this.lastname}`); // es6 template string
  };
}

/* store object into array */
aData[aData.length] = new Person("Java", "Script"); // aData[0]

aData.push(new Person("John", "Doe"));
aData.push(new Person("Anna", "Smith"));
aData.push(new Person("Black", "Pearl"));

aData[aData.length] = new Person("stack", "overflow"); // aData[4]

/* loop array */
for (var i in aData) {
  alert(aData[i].fullname());
}

/* convert array of object into string json */
var jsonString = JSON.stringify(aData);
document.write(jsonString);

Push object into array

With push you can even add multiple objects to an array

  let myArray = [];

   myArray.push(
              {name:"James", dataType:TYPES.VarChar, Value: body.Name},
              {name:"Boo", dataType:TYPES.VarChar, Value: body.Name},
              {name:"Alina", dataType:TYPES.VarChar, Value: body.Name}
             );

Expanding Gabi Purcaru's answer to include an answer to number 2.

a = new Array();
b = new Object();
a[0] = b;

var c = a[0]; // c is now the object we inserted into a...

obejct is clearly a typo. But both object and array need capital letters.

You can use short hands for new Array and new Object these are [] and {}

You can push data into the array using .push. This adds it to the end of the array. or you can set an index to contain the data.

function saveToArray() {
    var o = {};
    o.foo = 42;
    var arr = [];
    arr.push(o);
    return arr;
}

function other() {
    var arr = saveToArray();
    alert(arr[0]);
}

other();

On alternativ answer is this.

if you have and array like this: var contacts = [bob, mary];

and you want to put another array in this array, you can do that in this way:

Declare the function constructor

function add (firstName,lastName,email,phoneNumber) {
this.firstName = firstName;
this.lastName = lastName;
this.email = email;
this.phoneNumber = phoneNumber;
}

make the object from the function:

var add1 = new add("Alba","Fas","","[098] 654365364");

and add the object in to the array:

contacts[contacts.length] = add1;

You can use with Spread Operator (...) like this:

let arr = [{num: 1, char: "a"}, {num: 2, char: "b"}];

arr = [...arr,{num: 3, char: "c"}];

//...arr --> spread operator
console.log(arr);

a=[];
a.push(['b','c','d','e','f']);

The way I made object creator with auto list:

var list = [];

function saveToArray(x) {
    list.push(x);
};

function newObject () {
    saveToArray(this);
};

Performance

Today 2020.12.04 I perform tests on MacOs HighSierra 10.13.6 on Chrome v86, Safari v13.1.2 and Firefox v83 for chosen solutions.

Results

For all browsers

• in-place solution based on length (B) is fastest for small arrays, and in Firefox for big too and for Chrome and Safari is fast
• in-place solution based on push (A) is fastest for big arrays on Chrome and Safari, and fast for Firefox and small arrays
• in-place solution C is slow for big arrays and medium fast for small
• non-in-place solutions D and E are slow for big arrays
• non-in-place solutions E,F and D(on Firefox) are slow for small arrays