{"id":"vidhyamitra:city-day:rishikesh:2164-02-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2164-02-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2164-02-02","date_display":"February 2, 2164 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":2164,"month":2,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511476.770833,"kali_year":5265,"ahargana":1923011.2708,"sun":{"sidereal_longitude":286.1684,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":35.7077,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.5393,"elapsed_within_tithi_degrees":1.5393},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":35.7077,"elapsed_within_degrees":9.041},"yoga":{"number":25,"name":"Brahma","sum_longitude":321.8761},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2164,"month":2,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511476.770833,"ahargana":1923011.2708,"kali_year":5265,"ayanamsa_lahiri":26.1452,"grahas":{"sun":{"sidereal_longitude":286.547676,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":38.374076,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":-3.2408},"mars":{"sidereal_longitude":27.848975999999993,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":289.59827599999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":301.487576,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":330.728376,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":236.063576,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":169.6087,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":349.6087,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2164,"month":2,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511476.770833,"kali_year":5265,"ahargana":1923011.2708,"sun":{"sidereal_longitude":286.1684,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":35.7077,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.5393,"elapsed_within_tithi_degrees":1.5393},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":35.7077,"elapsed_within_degrees":9.041},"yoga":{"number":25,"name":"Brahma","sum_longitude":321.8761},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.241,"elongation":109.539},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.241,"opposition_distance":70.461}},"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":10.775993372472392,"dayLengthDisplay":"10 Hours 46 Mins 34 Secs","nightLengthDisplay":"13 Hours 13 Mins 26 Secs","moonriseLocal":"13:04","moonsetLocal":"02:53","rahuKala":{"name":"Rāhu Kāla","start":"13:52","end":"15:12","startHours":13.85976479134887,"endHours":15.20676396290792,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:07","end":"08:28","startHours":7.124768933553625,"endHours":8.471768105112673,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:49","end":"11:10","startHours":9.818767276671723,"endHours":11.165766448230773,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"10:00","startHours":9.639167387130517,"endHours":9.99836716621293,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.573768657406641,"endHours":7.861128480672572,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.153565840707408,"endHours":12.871965398872234,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:24","startHours":5.687969817223973,"endHours":6.406369375388799,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:07","startHours":6.226769485847592,"endHours":7.124768933553625,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:02","startHours":14.308764515201887,"endHours":15.027164073366713,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:42","end":"18:06","startHours":17.700762306026018,"endHours":18.100762306026017,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:54","end":"18:21","startHours":17.900762306026017,"endHours":18.349762029879034,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:39","end":"19:24","startHours":17.650762306026017,"endHours":19.400762306026017,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.153565840707408,"endHours":24.871965398872234,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:07","end":"08:28","startHours":7.124768933553625,"endHours":8.471768105112673,"quality":"auspicious"},{"name":"Roga","start":"08:28","end":"09:49","startHours":8.471768105112673,"endHours":9.818767276671723,"quality":"inauspicious"},{"name":"Udveg","start":"09:49","end":"11:10","startHours":9.818767276671723,"endHours":11.165766448230773,"quality":"inauspicious"},{"name":"Chala","start":"11:10","end":"12:31","startHours":11.165766448230773,"endHours":12.512765619789821,"quality":"neutral"},{"name":"Labha","start":"12:31","end":"13:52","startHours":12.512765619789821,"endHours":13.85976479134887,"quality":"auspicious"},{"name":"Amṛta","start":"13:52","end":"15:12","startHours":13.85976479134887,"endHours":15.20676396290792,"quality":"auspicious"},{"name":"Kāla","start":"15:12","end":"16:33","startHours":15.20676396290792,"endHours":16.55376313446697,"quality":"inauspicious"},{"name":"Śubha","start":"16:33","end":"17:54","startHours":16.55376313446697,"endHours":17.900762306026017,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:54","end":"19:33","startHours":17.900762306026017,"endHours":19.55376313446697,"quality":"auspicious"},{"name":"Kāla","start":"19:33","end":"21:12","startHours":19.55376313446697,"endHours":21.20676396290792,"quality":"inauspicious"},{"name":"Śubha","start":"21:12","end":"22:52","startHours":21.20676396290792,"endHours":22.85976479134887,"quality":"auspicious"},{"name":"Roga","start":"22:52","end":"00:31","startHours":22.85976479134887,"endHours":24.51276561978982,"quality":"inauspicious"},{"name":"Udveg","start":"00:31","end":"02:10","startHours":24.51276561978982,"endHours":26.165766448230773,"quality":"inauspicious"},{"name":"Chala","start":"02:10","end":"03:49","startHours":26.165766448230773,"endHours":27.81876727667172,"quality":"neutral"},{"name":"Labha","start":"03:49","end":"05:28","startHours":27.81876727667172,"endHours":29.471768105112673,"quality":"auspicious"},{"name":"Amṛta","start":"05:28","end":"07:07","startHours":29.471768105112673,"endHours":31.124768933553625,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.124768933553625,"endHours":8.124768933553625,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.124768933553625,"endHours":9.124768933553625,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.124768933553625,"endHours":10.124768933553625,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.124768933553625,"endHours":11.124768933553625,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.124768933553625,"endHours":12.124768933553625,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.124768933553625,"endHours":13.124768933553625,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.124768933553625,"endHours":14.124768933553625,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.124768933553625,"endHours":15.124768933553625,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.124768933553625,"endHours":16.124768933553625,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.124768933553625,"endHours":17.124768933553625,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.124768933553625,"endHours":18.124768933553625,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.124768933553625,"endHours":19.124768933553625,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.124768933553625,"endHours":20.124768933553625,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.124768933553625,"endHours":21.124768933553625,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.124768933553625,"endHours":22.124768933553625,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.124768933553625,"endHours":23.124768933553625,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.124768933553625,"endHours":24.124768933553625,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.124768933553625,"endHours":25.124768933553625,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.124768933553625,"endHours":26.124768933553625,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.124768933553625,"endHours":27.124768933553625,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.124768933553625,"endHours":28.124768933553625,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.124768933553625,"endHours":29.124768933553625,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.124768933553625,"endHours":30.124768933553625,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.124768933553625,"endHours":31.124768933553625,"planetary_lord":"Moon"}],"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","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Siddhi","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":-16.99767660204752,"eotMinutes":-13.836337187389248,"ayanamsa":26.1452}},"calendars":{"vikram_samvat":2221,"vikram_samvatsara":"Īśvara","saka_samvat":2086,"saka_samvatsara":"Raktākṣī","bengali_samvat":1571,"malayalam_era":1340,"nanakshahi_year":695,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","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 Śukla Daśamī · Vikram 2221 Īśvara · Śaka 2086 Raktākṣī"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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, 2164 CE · Ṛṣikeśa · Vidhyamitra","description":"February 2, 2164 CE for Ṛṣikeśa: Śukla Daśamī, sūryodaya 07:07, sūryāsta 17:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2164-02-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2164-02-02","sa":"https://sa.vidhyamitra.com/city/rishikesh/2164-02-02","hi":"https://hi.vidhyamitra.com/city/rishikesh/2164-02-02","x-default":"https://vidhyamitra.com/city/rishikesh/2164-02-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:55:23.221Z","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":"2026-06-01T04:55:23.221Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:55:23.221Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}