{"id":"vidhyamitra:city-day:rishikesh:1946-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1946-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1946-01-21","date_display":"January 21, 1946 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":1946,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431841.770833,"kali_year":5047,"ahargana":1843376.2708,"sun":{"sidereal_longitude":277.3709,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":141.1329,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.7619,"elapsed_within_tithi_degrees":7.7619},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":141.1329,"elapsed_within_degrees":7.7995},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.5038},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1946,"month":1,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2431841.770833,"ahargana":1843376.2708,"kali_year":5047,"ayanamsa_lahiri":23.0994,"grahas":{"sun":{"sidereal_longitude":277.30531900000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":140.27661899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":4.2812},"mars":{"sidereal_longitude":88.187119,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":264.639819,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":184.688219,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":275.29631900000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":87.954519,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":69.0542,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":249.0542,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":1946,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431841.770833,"kali_year":5047,"ahargana":1843376.2708,"sun":{"sidereal_longitude":277.3709,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":141.1329,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.7619,"elapsed_within_tithi_degrees":7.7619},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":141.1329,"elapsed_within_degrees":7.7995},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.5038},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.281,"elongation":136.238},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.281,"opposition_distance":43.762}},"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":"07:13","sunsetLocal":"17:44","solarNoonLocal":"12:28","dayLengthHours":10.510862838544602,"dayLengthDisplay":"10 Hours 30 Mins 39 Secs","nightLengthDisplay":"13 Hours 29 Mins 21 Secs","moonriseLocal":"21:02","moonsetLocal":"09:38","rahuKala":{"name":"Rāhu Kāla","start":"08:32","end":"09:51","startHours":8.528181956364643,"endHours":9.842039811182719,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:09","end":"12:28","startHours":11.155897666000794,"endHours":12.469755520818868,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:47","end":"15:06","startHours":13.783613375636945,"endHours":15.09747123045502,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.666858763873641,"endHours":10.017220858491795,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.65227671981926,"endHours":7.932566395513782,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.119393426200714,"endHours":12.820117615437022,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:31","startHours":5.8128757230739545,"endHours":6.513599912310261,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:13","startHours":6.338418865001184,"endHours":7.214324101546568,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.221565993909635,"endHours":14.922290183145943,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.52518694009117,"endHours":17.92518694009117,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:10","startHours":17.72518694009117,"endHours":18.163139558363863,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.47518694009117,"endHours":19.22518694009117,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.119393426200716,"endHours":24.82011761543702,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:13","end":"08:32","startHours":7.214324101546568,"endHours":8.528181956364643,"quality":"auspicious"},{"name":"Kāla","start":"08:32","end":"09:51","startHours":8.528181956364643,"endHours":9.842039811182719,"quality":"inauspicious"},{"name":"Śubha","start":"09:51","end":"11:09","startHours":9.842039811182719,"endHours":11.155897666000794,"quality":"auspicious"},{"name":"Roga","start":"11:09","end":"12:28","startHours":11.155897666000794,"endHours":12.469755520818868,"quality":"inauspicious"},{"name":"Udveg","start":"12:28","end":"13:47","startHours":12.469755520818868,"endHours":13.783613375636945,"quality":"inauspicious"},{"name":"Chala","start":"13:47","end":"15:06","startHours":13.783613375636945,"endHours":15.09747123045502,"quality":"neutral"},{"name":"Labha","start":"15:06","end":"16:25","startHours":15.09747123045502,"endHours":16.411329085273096,"quality":"auspicious"},{"name":"Amṛta","start":"16:25","end":"17:44","startHours":16.411329085273096,"endHours":17.72518694009117,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:44","end":"19:25","startHours":17.72518694009117,"endHours":19.411329085273096,"quality":"neutral"},{"name":"Labha","start":"19:25","end":"21:06","startHours":19.411329085273096,"endHours":21.09747123045502,"quality":"auspicious"},{"name":"Amṛta","start":"21:06","end":"22:47","startHours":21.09747123045502,"endHours":22.783613375636946,"quality":"auspicious"},{"name":"Kāla","start":"22:47","end":"00:28","startHours":22.783613375636946,"endHours":24.469755520818868,"quality":"inauspicious"},{"name":"Śubha","start":"00:28","end":"02:09","startHours":24.469755520818868,"endHours":26.155897666000794,"quality":"auspicious"},{"name":"Roga","start":"02:09","end":"03:51","startHours":26.155897666000794,"endHours":27.84203981118272,"quality":"inauspicious"},{"name":"Udveg","start":"03:51","end":"05:32","startHours":27.84203981118272,"endHours":29.52818195636464,"quality":"inauspicious"},{"name":"Chala","start":"05:32","end":"07:13","startHours":29.52818195636464,"endHours":31.214324101546566,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.214324101546568,"endHours":8.214324101546568,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.214324101546568,"endHours":9.214324101546568,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.214324101546568,"endHours":10.214324101546568,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.214324101546568,"endHours":11.214324101546568,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.214324101546568,"endHours":12.214324101546568,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.214324101546568,"endHours":13.214324101546568,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.214324101546568,"endHours":14.214324101546568,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.214324101546568,"endHours":15.214324101546568,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.214324101546568,"endHours":16.214324101546566,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.214324101546566,"endHours":17.214324101546566,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.214324101546566,"endHours":18.214324101546566,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.214324101546566,"endHours":19.214324101546566,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.214324101546566,"endHours":20.214324101546566,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.214324101546566,"endHours":21.214324101546566,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.214324101546566,"endHours":22.214324101546566,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.214324101546566,"endHours":23.214324101546566,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.214324101546566,"endHours":24.214324101546566,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.214324101546566,"endHours":25.214324101546566,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.214324101546566,"endHours":26.214324101546566,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.214324101546566,"endHours":27.214324101546566,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.214324101546566,"endHours":28.214324101546566,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.214324101546566,"endHours":29.214324101546566,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.214324101546566,"endHours":30.214324101546566,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.214324101546566,"endHours":31.214324101546566,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Lumba","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":-20.061775435779218,"eotMinutes":-11.255731249132124,"ayanamsa":23.0994}},"calendars":{"vikram_samvat":2003,"vikram_samvatsara":"Vikāri","saka_samvat":1868,"saka_samvatsara":"Vyaya","bengali_samvat":1353,"malayalam_era":1122,"nanakshahi_year":477,"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 Caturthī · Vikram 2003 Vikāri · Śaka 1868 Vyaya"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 21, 1946 CE · Ṛṣikeśa · Vidhyamitra","description":"January 21, 1946 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 07:13, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1946-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1946-01-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/1946-01-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/1946-01-21","x-default":"https://vidhyamitra.com/city/rishikesh/1946-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:52:25.657Z","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":"2026-05-31T12:52:25.657Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:52:25.657Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}