{"id":"vidhyamitra:city-day:rishikesh:1951-01-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1951-01-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1951-01-09","date_display":"January 9, 1951 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":1951,"month":1,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433655.770833,"kali_year":5052,"ahargana":1845190.2708,"sun":{"sidereal_longitude":264.7487,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":281.4115,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":16.6628,"elapsed_within_tithi_degrees":4.6628},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":281.4115,"elapsed_within_degrees":1.4115},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.1602},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1951,"month":1,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433655.770833,"ahargana":1845190.2708,"kali_year":5052,"ayanamsa_lahiri":23.1688,"grahas":{"sun":{"sidereal_longitude":264.79611,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":281.24920999999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":-3.5217},"mars":{"sidereal_longitude":296.86741000000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":250.32020999999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":313.92821000000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":279.0020099999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":159.48271,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":332.9398,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":152.9398,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"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":1951,"month":1,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433655.770833,"kali_year":5052,"ahargana":1845190.2708,"sun":{"sidereal_longitude":264.7487,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":281.4115,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":16.6628,"elapsed_within_tithi_degrees":4.6628},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":281.4115,"elapsed_within_degrees":1.4115},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.1602},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.522,"elongation":16.663},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.522,"opposition_distance":163.337}},"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":"07:15","sunsetLocal":"17:34","solarNoonLocal":"12:24","dayLengthHours":10.316012400292635,"dayLengthDisplay":"10 Hours 18 Mins 58 Secs","nightLengthDisplay":"13 Hours 41 Mins 02 Secs","moonriseLocal":"08:13","moonsetLocal":"18:46","rahuKala":{"name":"Rāhu Kāla","start":"14:59","end":"16:16","startHours":14.979567938712801,"endHours":16.26906948874938,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:49","end":"11:07","startHours":9.821561738566484,"endHours":11.111063288603063,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:24","end":"13:41","startHours":12.400564838639642,"endHours":13.690066388676222,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.649628198561606,"endHours":9.99349527857136,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.672392488505518,"endHours":7.947486152513322,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.056697758629888,"endHours":12.744431918649397,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.867090318454307,"endHours":6.554824478473815,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:15","startHours":6.382890938468939,"endHours":7.242558638493325,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:48","startHours":14.119900238688416,"endHours":14.807634398707926,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.35857103878596,"endHours":17.75857103878596,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"17:59","startHours":17.55857103878596,"endHours":17.988404888798154,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.30857103878596,"endHours":19.05857103878596,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.056697758629888,"endHours":24.744431918649397,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:15","end":"08:32","startHours":7.242558638493325,"endHours":8.532060188529904,"quality":"inauspicious"},{"name":"Udveg","start":"08:32","end":"09:49","startHours":8.532060188529904,"endHours":9.821561738566484,"quality":"inauspicious"},{"name":"Chala","start":"09:49","end":"11:07","startHours":9.821561738566484,"endHours":11.111063288603063,"quality":"neutral"},{"name":"Labha","start":"11:07","end":"12:24","startHours":11.111063288603063,"endHours":12.400564838639642,"quality":"auspicious"},{"name":"Amṛta","start":"12:24","end":"13:41","startHours":12.400564838639642,"endHours":13.690066388676222,"quality":"auspicious"},{"name":"Kāla","start":"13:41","end":"14:59","startHours":13.690066388676222,"endHours":14.979567938712801,"quality":"inauspicious"},{"name":"Śubha","start":"14:59","end":"16:16","startHours":14.979567938712801,"endHours":16.26906948874938,"quality":"auspicious"},{"name":"Roga","start":"16:16","end":"17:34","startHours":16.26906948874938,"endHours":17.55857103878596,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:34","end":"19:16","startHours":17.55857103878596,"endHours":19.26906948874938,"quality":"inauspicious"},{"name":"Śubha","start":"19:16","end":"20:59","startHours":19.26906948874938,"endHours":20.9795679387128,"quality":"auspicious"},{"name":"Roga","start":"20:59","end":"22:41","startHours":20.9795679387128,"endHours":22.69006638867622,"quality":"inauspicious"},{"name":"Udveg","start":"22:41","end":"00:24","startHours":22.69006638867622,"endHours":24.400564838639642,"quality":"inauspicious"},{"name":"Chala","start":"00:24","end":"02:07","startHours":24.400564838639642,"endHours":26.111063288603063,"quality":"neutral"},{"name":"Labha","start":"02:07","end":"03:49","startHours":26.111063288603063,"endHours":27.821561738566484,"quality":"auspicious"},{"name":"Amṛta","start":"03:49","end":"05:32","startHours":27.821561738566484,"endHours":29.532060188529904,"quality":"auspicious"},{"name":"Kāla","start":"05:32","end":"07:15","startHours":29.532060188529904,"endHours":31.242558638493325,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:15","end":"08:15","startHours":7.242558638493325,"endHours":8.242558638493325,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:15","end":"09:15","startHours":8.242558638493325,"endHours":9.242558638493325,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:15","end":"10:15","startHours":9.242558638493325,"endHours":10.242558638493325,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:15","end":"11:15","startHours":10.242558638493325,"endHours":11.242558638493325,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:15","end":"12:15","startHours":11.242558638493325,"endHours":12.242558638493325,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:15","end":"13:15","startHours":12.242558638493325,"endHours":13.242558638493325,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:15","end":"14:15","startHours":13.242558638493325,"endHours":14.242558638493325,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:15","end":"15:15","startHours":14.242558638493325,"endHours":15.242558638493325,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:15","end":"16:15","startHours":15.242558638493325,"endHours":16.242558638493325,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:15","end":"17:15","startHours":16.242558638493325,"endHours":17.242558638493325,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:15","end":"18:15","startHours":17.242558638493325,"endHours":18.242558638493325,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:15","end":"19:15","startHours":18.242558638493325,"endHours":19.242558638493325,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:15","end":"20:15","startHours":19.242558638493325,"endHours":20.242558638493325,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:15","end":"21:15","startHours":20.242558638493325,"endHours":21.242558638493325,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:15","end":"22:15","startHours":21.242558638493325,"endHours":22.242558638493325,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:15","end":"23:15","startHours":22.242558638493325,"endHours":23.242558638493325,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:15","end":"00:15","startHours":23.242558638493325,"endHours":24.242558638493325,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:15","end":"01:15","startHours":24.242558638493325,"endHours":25.242558638493325,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:15","end":"02:15","startHours":25.242558638493325,"endHours":26.242558638493325,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:15","end":"03:15","startHours":26.242558638493325,"endHours":27.242558638493325,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:15","end":"04:15","startHours":27.242558638493325,"endHours":28.242558638493325,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:15","end":"05:15","startHours":28.242558638493325,"endHours":29.242558638493325,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:15","end":"06:15","startHours":29.242558638493325,"endHours":30.242558638493325,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:15","end":"07:15","startHours":30.242558638493325,"endHours":31.242558638493325,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"North","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.230973658190077,"eotMinutes":-7.10429031837854,"ayanamsa":23.1688}},"calendars":{"vikram_samvat":2008,"vikram_samvatsara":"Krodhi","saka_samvat":1873,"saka_samvatsara":"Khara","bengali_samvat":1358,"malayalam_era":1127,"nanakshahi_year":482,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Dvitīyā · Vikram 2008 Krodhi · Śaka 1873 Khara"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 9, 1951 CE · Ṛṣikeśa · Vidhyamitra","description":"January 9, 1951 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 07:15, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1951-01-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1951-01-09","sa":"https://sa.vidhyamitra.com/city/rishikesh/1951-01-09","hi":"https://hi.vidhyamitra.com/city/rishikesh/1951-01-09","x-default":"https://vidhyamitra.com/city/rishikesh/1951-01-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:11:41.144Z","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":"2026-06-01T23:11:41.144Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:11:41.144Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}