{"id":"vidhyamitra:city-day:rishikesh:2036-01-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2036-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2036-01-02","date_display":"January 2, 2036 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2036,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2464694.770833,"kali_year":5137,"ahargana":1876229.2708,"sun":{"sidereal_longitude":256.5305,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":297.0098,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.4793,"elapsed_within_tithi_degrees":4.4793},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.0098,"elapsed_within_degrees":3.6765},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.5404},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2036,"month":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2464694.770833,"ahargana":1876229.2708,"kali_year":5137,"ayanamsa_lahiri":24.3559,"grahas":{"sun":{"sidereal_longitude":256.847792,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":293.981592,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":0.8835},"mars":{"sidereal_longitude":351.054492,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":272.09089199999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":15.613692000000015,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":292.01079200000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":113.50449200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":128.3442,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":308.3442,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2036,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2464694.770833,"kali_year":5137,"ahargana":1876229.2708,"sun":{"sidereal_longitude":256.5305,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":297.0098,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.4793,"elapsed_within_tithi_degrees":4.4793},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.0098,"elapsed_within_degrees":3.6765},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.5404},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.884,"elongation":40.479},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.884,"opposition_distance":139.521}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"07:14","sunsetLocal":"17:29","solarNoonLocal":"12:21","dayLengthHours":10.248618973749728,"dayLengthDisplay":"10 Hours 14 Mins 55 Secs","nightLengthDisplay":"13 Hours 45 Mins 05 Secs","moonriseLocal":"09:23","moonsetLocal":"20:16","rahuKala":{"name":"Rāhu Kāla","start":"12:21","end":"13:38","startHours":12.35132183475589,"endHours":13.632399206474606,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"09:47","startHours":8.508089719599742,"endHours":9.789167091318458,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:04","end":"12:21","startHours":11.070244463037174,"endHours":12.35132183475589,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.618356775089296,"endHours":9.959977407547619,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.654038138453931,"endHours":7.92733464442059,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.009701202297565,"endHours":12.692942467214214,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.860529818047729,"endHours":6.543771082964377,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.372960766735215,"endHours":7.2270123478810255,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:45","startHours":14.059424997047511,"endHours":14.74266626196416,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.275631321630755,"endHours":17.675631321630753,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:54","startHours":17.475631321630754,"endHours":17.90265711220366,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.225631321630754,"endHours":18.975631321630754,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.009701202297567,"endHours":24.692942467214213,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:14","end":"08:30","startHours":7.2270123478810255,"endHours":8.508089719599742,"quality":"auspicious"},{"name":"Amṛta","start":"08:30","end":"09:47","startHours":8.508089719599742,"endHours":9.789167091318458,"quality":"auspicious"},{"name":"Kāla","start":"09:47","end":"11:04","startHours":9.789167091318458,"endHours":11.070244463037174,"quality":"inauspicious"},{"name":"Śubha","start":"11:04","end":"12:21","startHours":11.070244463037174,"endHours":12.35132183475589,"quality":"auspicious"},{"name":"Roga","start":"12:21","end":"13:38","startHours":12.35132183475589,"endHours":13.632399206474606,"quality":"inauspicious"},{"name":"Udveg","start":"13:38","end":"14:55","startHours":13.632399206474606,"endHours":14.913476578193322,"quality":"inauspicious"},{"name":"Chala","start":"14:55","end":"16:12","startHours":14.913476578193322,"endHours":16.194553949912038,"quality":"neutral"},{"name":"Labha","start":"16:12","end":"17:29","startHours":16.194553949912038,"endHours":17.475631321630754,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:29","end":"19:12","startHours":17.475631321630754,"endHours":19.194553949912038,"quality":"inauspicious"},{"name":"Chala","start":"19:12","end":"20:55","startHours":19.194553949912038,"endHours":20.913476578193322,"quality":"neutral"},{"name":"Labha","start":"20:55","end":"22:38","startHours":20.913476578193322,"endHours":22.632399206474606,"quality":"auspicious"},{"name":"Amṛta","start":"22:38","end":"00:21","startHours":22.632399206474606,"endHours":24.35132183475589,"quality":"auspicious"},{"name":"Kāla","start":"00:21","end":"02:04","startHours":24.35132183475589,"endHours":26.070244463037174,"quality":"inauspicious"},{"name":"Śubha","start":"02:04","end":"03:47","startHours":26.070244463037174,"endHours":27.789167091318458,"quality":"auspicious"},{"name":"Roga","start":"03:47","end":"05:30","startHours":27.789167091318458,"endHours":29.50808971959974,"quality":"inauspicious"},{"name":"Udveg","start":"05:30","end":"07:14","startHours":29.50808971959974,"endHours":31.227012347881026,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.2270123478810255,"endHours":8.227012347881026,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.227012347881026,"endHours":9.227012347881026,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.227012347881026,"endHours":10.227012347881026,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.227012347881026,"endHours":11.227012347881026,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.227012347881026,"endHours":12.227012347881026,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.227012347881026,"endHours":13.227012347881026,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.227012347881026,"endHours":14.227012347881026,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.227012347881026,"endHours":15.227012347881026,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.227012347881026,"endHours":16.227012347881026,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.227012347881026,"endHours":17.227012347881026,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.227012347881026,"endHours":18.227012347881026,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.227012347881026,"endHours":19.227012347881026,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.227012347881026,"endHours":20.227012347881026,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.227012347881026,"endHours":21.227012347881026,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.227012347881026,"endHours":22.227012347881026,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.227012347881026,"endHours":23.227012347881026,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.227012347881026,"endHours":24.227012347881026,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.227012347881026,"endHours":25.227012347881026,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.227012347881026,"endHours":26.227012347881026,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.227012347881026,"endHours":27.227012347881026,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.227012347881026,"endHours":28.227012347881026,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.227012347881026,"endHours":29.227012347881026,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.227012347881026,"endHours":30.227012347881026,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.227012347881026,"endHours":31.227012347881026,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.96400300332324,"eotMinutes":-4.149710085353452,"ayanamsa":24.3559}},"calendars":{"vikram_samvat":2093,"vikram_samvatsara":"Śukla","saka_samvat":1958,"saka_samvatsara":"Nala","bengali_samvat":1443,"malayalam_era":1212,"nanakshahi_year":567,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 2093 Śukla · Śaka 1958 Nala"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 2, 2036 CE · Ṛṣikeśa · Vidhyamitra","description":"January 2, 2036 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 07:14, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2036-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2036-01-02","sa":"https://sa.vidhyamitra.com/city/rishikesh/2036-01-02","hi":"https://hi.vidhyamitra.com/city/rishikesh/2036-01-02","x-default":"https://vidhyamitra.com/city/rishikesh/2036-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T12:16:31.282Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-15T12:16:31.282Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T12:16:31.282Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}