{"id":"vidhyamitra:city-day:rishikesh:2165-11-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2165-11-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-11-21","date_display":"November 21, 2165 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":2165,"month":11,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512134.770833,"kali_year":5267,"ahargana":1923669.2708,"sun":{"sidereal_longitude":211.86,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":70.0262,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.1663,"elapsed_within_tithi_degrees":2.1663},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.0262,"elapsed_within_degrees":3.3595},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.8862},"karana":{"half_tithi_index":36,"name":"Bava"},"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":2165,"month":11,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512134.770833,"ahargana":1923669.2708,"kali_year":5267,"ayanamsa_lahiri":26.1703,"grahas":{"sun":{"sidereal_longitude":212.84653600000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":70.199636,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":-4.0682},"mars":{"sidereal_longitude":80.16313600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":197.11533600000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":358.309436,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":218.84303599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":248.22183599999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":134.7447,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":314.7447,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2165,"month":11,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512134.770833,"kali_year":5267,"ahargana":1923669.2708,"sun":{"sidereal_longitude":211.86,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":70.0262,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.1663,"elapsed_within_tithi_degrees":2.1663},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.0262,"elapsed_within_degrees":3.3595},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.8862},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.068,"elongation":141.834},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.068,"opposition_distance":38.166}},"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":"06:48","sunsetLocal":"17:19","solarNoonLocal":"12:03","dayLengthHours":10.52189483459253,"dayLengthDisplay":"10 Hours 31 Mins 19 Secs","nightLengthDisplay":"13 Hours 28 Mins 41 Secs","moonriseLocal":"19:32","moonsetLocal":"09:34","rahuKala":{"name":"Rāhu Kāla","start":"13:22","end":"14:41","startHours":13.37356960179564,"endHours":14.688806456119707,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:48","end":"08:07","startHours":6.7973853301753095,"endHours":8.112622184499376,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:26","end":"10:45","startHours":9.427859038823442,"endHours":10.743095893147508,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:15","end":"09:36","startHours":9.252494124913566,"endHours":9.603223952733318,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:14","end":"07:31","startHours":7.235797614949998,"endHours":7.516381477205799,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:25","startHours":11.707602919651823,"endHours":12.409062575291326,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:24","end":"06:06","startHours":5.394466018896305,"endHours":6.095925674535808,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:55","end":"06:48","startHours":5.920560760625932,"endHours":6.7973853301753095,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:31","startHours":13.81198188657033,"endHours":14.513441542209831,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.11928016476784,"endHours":17.51928016476784,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.31928016476784,"endHours":17.757692449542528,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.06928016476784,"endHours":18.81928016476784,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:25","startHours":23.707602919651823,"endHours":24.409062575291326,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:48","end":"08:07","startHours":6.7973853301753095,"endHours":8.112622184499376,"quality":"auspicious"},{"name":"Roga","start":"08:07","end":"09:26","startHours":8.112622184499376,"endHours":9.427859038823442,"quality":"inauspicious"},{"name":"Udveg","start":"09:26","end":"10:45","startHours":9.427859038823442,"endHours":10.743095893147508,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:03","startHours":10.743095893147508,"endHours":12.058332747471574,"quality":"neutral"},{"name":"Labha","start":"12:03","end":"13:22","startHours":12.058332747471574,"endHours":13.37356960179564,"quality":"auspicious"},{"name":"Amṛta","start":"13:22","end":"14:41","startHours":13.37356960179564,"endHours":14.688806456119707,"quality":"auspicious"},{"name":"Kāla","start":"14:41","end":"16:00","startHours":14.688806456119707,"endHours":16.004043310443773,"quality":"inauspicious"},{"name":"Śubha","start":"16:00","end":"17:19","startHours":16.004043310443773,"endHours":17.31928016476784,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:19","end":"19:00","startHours":17.31928016476784,"endHours":19.004043310443773,"quality":"auspicious"},{"name":"Kāla","start":"19:00","end":"20:41","startHours":19.004043310443773,"endHours":20.688806456119707,"quality":"inauspicious"},{"name":"Śubha","start":"20:41","end":"22:22","startHours":20.688806456119707,"endHours":22.37356960179564,"quality":"auspicious"},{"name":"Roga","start":"22:22","end":"00:03","startHours":22.37356960179564,"endHours":24.058332747471574,"quality":"inauspicious"},{"name":"Udveg","start":"00:03","end":"01:45","startHours":24.058332747471574,"endHours":25.74309589314751,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:26","startHours":25.74309589314751,"endHours":27.427859038823442,"quality":"neutral"},{"name":"Labha","start":"03:26","end":"05:07","startHours":27.427859038823442,"endHours":29.112622184499376,"quality":"auspicious"},{"name":"Amṛta","start":"05:07","end":"06:48","startHours":29.112622184499376,"endHours":30.79738533017531,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:48","end":"07:48","startHours":6.7973853301753095,"endHours":7.7973853301753095,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:48","end":"08:48","startHours":7.7973853301753095,"endHours":8.79738533017531,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:48","end":"09:48","startHours":8.79738533017531,"endHours":9.79738533017531,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:48","end":"10:48","startHours":9.79738533017531,"endHours":10.79738533017531,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:48","end":"11:48","startHours":10.79738533017531,"endHours":11.79738533017531,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:48","end":"12:48","startHours":11.79738533017531,"endHours":12.79738533017531,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:48","end":"13:48","startHours":12.79738533017531,"endHours":13.79738533017531,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:48","end":"14:48","startHours":13.79738533017531,"endHours":14.79738533017531,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:48","end":"15:48","startHours":14.79738533017531,"endHours":15.79738533017531,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:48","end":"16:48","startHours":15.79738533017531,"endHours":16.79738533017531,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:48","end":"17:48","startHours":16.79738533017531,"endHours":17.79738533017531,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:48","end":"18:48","startHours":17.79738533017531,"endHours":18.79738533017531,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:48","end":"19:48","startHours":18.79738533017531,"endHours":19.79738533017531,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:48","end":"20:48","startHours":19.79738533017531,"endHours":20.79738533017531,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:48","end":"21:48","startHours":20.79738533017531,"endHours":21.79738533017531,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:48","end":"22:48","startHours":21.79738533017531,"endHours":22.79738533017531,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:48","end":"23:48","startHours":22.79738533017531,"endHours":23.79738533017531,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:48","end":"00:48","startHours":23.79738533017531,"endHours":24.79738533017531,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:48","end":"01:48","startHours":24.79738533017531,"endHours":25.79738533017531,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:48","end":"02:48","startHours":25.79738533017531,"endHours":26.79738533017531,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:48","end":"03:48","startHours":26.79738533017531,"endHours":27.79738533017531,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:48","end":"04:48","startHours":27.79738533017531,"endHours":28.79738533017531,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:48","end":"05:48","startHours":28.79738533017531,"endHours":29.79738533017531,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:48","end":"06:48","startHours":29.79738533017531,"endHours":30.79738533017531,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.936801779448963,"eotMinutes":13.429635151705593,"ayanamsa":26.1703}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Caturthī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[]},"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 November 21, 2165 CE · Ṛṣikeśa · Vidhyamitra","description":"November 21, 2165 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 06:48, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2165-11-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2165-11-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2165-11-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2165-11-21","x-default":"https://vidhyamitra.com/city/rishikesh/2165-11-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T14:51:17.148Z","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":"2026-06-02T14:51:17.148Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T14:51:17.148Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}