{"id":"vidhyamitra:city-day:rishikesh:2163-02-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2163-02-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2163-02-02","date_display":"February 2, 2163 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":2163,"month":2,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511111.770833,"kali_year":5264,"ahargana":1922646.2708,"sun":{"sidereal_longitude":286.433,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":269.1575,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.7245,"elapsed_within_tithi_degrees":6.7245},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":269.1575,"elapsed_within_degrees":2.4909},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.5905},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":2163,"month":2,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511111.770833,"ahargana":1922646.2708,"kali_year":5264,"ayanamsa_lahiri":26.1312,"grahas":{"sun":{"sidereal_longitude":286.80752200000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":267.66672199999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false,"latitude":4.4343},"mars":{"sidereal_longitude":240.22152200000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":276.81202200000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":274.876522,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":246.70292199999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":225.66892200000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":188.9481,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":8.9481,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"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":2163,"month":2,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511111.770833,"kali_year":5264,"ahargana":1922646.2708,"sun":{"sidereal_longitude":286.433,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":269.1575,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.7245,"elapsed_within_tithi_degrees":6.7245},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":269.1575,"elapsed_within_degrees":2.4909},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.5905},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.434,"elongation":17.275},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.434,"opposition_distance":162.725}},"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":"07:07","sunsetLocal":"17:54","solarNoonLocal":"12:31","dayLengthHours":10.781885445181208,"dayLengthDisplay":"10 Hours 46 Mins 55 Secs","nightLengthDisplay":"13 Hours 13 Mins 05 Secs","moonriseLocal":"06:04","moonsetLocal":"16:25","rahuKala":{"name":"Rāhu Kāla","start":"12:31","end":"13:52","startHours":12.512765619789821,"endHours":13.860501300437473,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:28","end":"09:49","startHours":8.469558577846868,"endHours":9.81729425849452,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:10","end":"12:31","startHours":11.16502993914217,"endHours":12.512765619789821,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"10:00","startHours":9.6375961677415,"endHours":9.99699234924754,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.571068124081768,"endHours":7.8585850692866,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.15336943828378,"endHours":12.872161801295862,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:24","startHours":5.684238171175057,"endHours":6.403030534187137,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:07","startHours":6.223332443434117,"endHours":7.121822897199218,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:02","startHours":14.309746527320023,"endHours":15.028538890332104,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:42","end":"18:06","startHours":17.703708342380427,"endHours":18.103708342380425,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:54","end":"18:21","startHours":17.903708342380426,"endHours":18.352953569262976,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:39","end":"19:24","startHours":17.653708342380426,"endHours":19.403708342380426,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.153369438283782,"endHours":24.87216180129586,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:07","end":"08:28","startHours":7.121822897199218,"endHours":8.469558577846868,"quality":"auspicious"},{"name":"Amṛta","start":"08:28","end":"09:49","startHours":8.469558577846868,"endHours":9.81729425849452,"quality":"auspicious"},{"name":"Kāla","start":"09:49","end":"11:10","startHours":9.81729425849452,"endHours":11.16502993914217,"quality":"inauspicious"},{"name":"Śubha","start":"11:10","end":"12:31","startHours":11.16502993914217,"endHours":12.512765619789821,"quality":"auspicious"},{"name":"Roga","start":"12:31","end":"13:52","startHours":12.512765619789821,"endHours":13.860501300437473,"quality":"inauspicious"},{"name":"Udveg","start":"13:52","end":"15:12","startHours":13.860501300437473,"endHours":15.208236981085124,"quality":"inauspicious"},{"name":"Chala","start":"15:12","end":"16:33","startHours":15.208236981085124,"endHours":16.555972661732774,"quality":"neutral"},{"name":"Labha","start":"16:33","end":"17:54","startHours":16.555972661732774,"endHours":17.903708342380426,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:54","end":"19:33","startHours":17.903708342380426,"endHours":19.555972661732774,"quality":"inauspicious"},{"name":"Chala","start":"19:33","end":"21:12","startHours":19.555972661732774,"endHours":21.208236981085125,"quality":"neutral"},{"name":"Labha","start":"21:12","end":"22:52","startHours":21.208236981085125,"endHours":22.860501300437473,"quality":"auspicious"},{"name":"Amṛta","start":"22:52","end":"00:31","startHours":22.860501300437473,"endHours":24.51276561978982,"quality":"auspicious"},{"name":"Kāla","start":"00:31","end":"02:10","startHours":24.51276561978982,"endHours":26.165029939142173,"quality":"inauspicious"},{"name":"Śubha","start":"02:10","end":"03:49","startHours":26.165029939142173,"endHours":27.81729425849452,"quality":"auspicious"},{"name":"Roga","start":"03:49","end":"05:28","startHours":27.81729425849452,"endHours":29.46955857784687,"quality":"inauspicious"},{"name":"Udveg","start":"05:28","end":"07:07","startHours":29.46955857784687,"endHours":31.121822897199216,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.121822897199218,"endHours":8.121822897199218,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.121822897199218,"endHours":9.121822897199218,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.121822897199218,"endHours":10.121822897199218,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.121822897199218,"endHours":11.121822897199218,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.121822897199218,"endHours":12.121822897199218,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.121822897199218,"endHours":13.121822897199218,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.121822897199218,"endHours":14.121822897199218,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.121822897199218,"endHours":15.121822897199218,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.121822897199218,"endHours":16.121822897199216,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.121822897199216,"endHours":17.121822897199216,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.121822897199216,"endHours":18.121822897199216,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.121822897199216,"endHours":19.121822897199216,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.121822897199216,"endHours":20.121822897199216,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.121822897199216,"endHours":21.121822897199216,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.121822897199216,"endHours":22.121822897199216,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.121822897199216,"endHours":23.121822897199216,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.121822897199216,"endHours":24.121822897199216,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.121822897199216,"endHours":25.121822897199216,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.121822897199216,"endHours":26.121822897199216,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.121822897199216,"endHours":27.121822897199216,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.121822897199216,"endHours":28.121822897199216,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.121822897199216,"endHours":29.121822897199216,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.121822897199216,"endHours":30.121822897199216,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.121822897199216,"endHours":31.121822897199216,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-16.928197690873606,"eotMinutes":-13.836337187389248,"ayanamsa":26.1312}},"calendars":{"vikram_samvat":2220,"vikram_samvatsara":"Dhātṛ","saka_samvat":2085,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1570,"malayalam_era":1339,"nanakshahi_year":694,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Caturdaśī · Vikram 2220 Dhātṛ · Śaka 2085 Rudhirodgāri"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"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 February 2, 2163 CE · Ṛṣikeśa · Vidhyamitra","description":"February 2, 2163 CE for Ṛṣikeśa: Kṛṣṇa Caturdaśī, sūryodaya 07:07, sūryāsta 17:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2163-02-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2163-02-02","sa":"https://sa.vidhyamitra.com/city/rishikesh/2163-02-02","hi":"https://hi.vidhyamitra.com/city/rishikesh/2163-02-02","x-default":"https://vidhyamitra.com/city/rishikesh/2163-02-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T06:37:30.763Z","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":"2026-06-02T06:37:30.763Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T06:37:30.763Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}