{"id":"vidhyamitra:city-day:rishikesh:1932-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1932-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1932-12-31","date_display":"December 31, 1932 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":1932,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2427072.770833,"kali_year":5034,"ahargana":1838607.2708,"sun":{"sidereal_longitude":256.1727,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":302.6281,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.4555,"elapsed_within_tithi_degrees":10.4555},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":302.6281,"elapsed_within_degrees":9.2948},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.8008},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1932,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2427072.770833,"ahargana":1838607.2708,"kali_year":5034,"ayanamsa_lahiri":22.917,"grahas":{"sun":{"sidereal_longitude":256.251529,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":303.54622900000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":-1.4719},"mars":{"sidereal_longitude":145.743429,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":236.33632899999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":150.681129,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":230.10082899999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":281.4591290000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":321.7388,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":141.7388,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":1932,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2427072.770833,"kali_year":5034,"ahargana":1838607.2708,"sun":{"sidereal_longitude":256.1727,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":302.6281,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.4555,"elapsed_within_tithi_degrees":10.4555},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":302.6281,"elapsed_within_degrees":9.2948},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.8008},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.472,"elongation":46.455},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.472,"opposition_distance":133.545}},"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":"17:27","solarNoonLocal":"12:20","dayLengthHours":10.234209793630157,"dayLengthDisplay":"10 Hours 14 Mins 03 Secs","nightLengthDisplay":"13 Hours 45 Mins 57 Secs","moonriseLocal":"09:57","moonsetLocal":"21:02","rahuKala":{"name":"Rāhu Kāla","start":"09:47","end":"11:03","startHours":9.777878133655882,"endHours":11.057154357859652,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:37","end":"14:54","startHours":13.615706806267191,"endHours":14.89498303047096,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:13","end":"08:30","startHours":7.219325685248343,"endHours":8.498601909452113,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.607307970428714,"endHours":9.94844829688305,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:55","startHours":7.6457510933162665,"endHours":7.918663354479738,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:41","startHours":11.995290255609083,"endHours":12.67757090851776,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.854764379430989,"endHours":6.537045032339666,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.366474869112497,"endHours":7.219325685248343,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:43","startHours":14.042132214335114,"endHours":14.72441286724379,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.2535354788785,"endHours":17.6535354788785,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.4535354788785,"endHours":17.879960886946424,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.2035354788785,"endHours":18.9535354788785,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:41","startHours":23.99529025560908,"endHours":24.67757090851776,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:13","end":"08:30","startHours":7.219325685248343,"endHours":8.498601909452113,"quality":"inauspicious"},{"name":"Śubha","start":"08:30","end":"09:47","startHours":8.498601909452113,"endHours":9.777878133655882,"quality":"auspicious"},{"name":"Roga","start":"09:47","end":"11:03","startHours":9.777878133655882,"endHours":11.057154357859652,"quality":"inauspicious"},{"name":"Udveg","start":"11:03","end":"12:20","startHours":11.057154357859652,"endHours":12.336430582063421,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"13:37","startHours":12.336430582063421,"endHours":13.615706806267191,"quality":"neutral"},{"name":"Labha","start":"13:37","end":"14:54","startHours":13.615706806267191,"endHours":14.89498303047096,"quality":"auspicious"},{"name":"Amṛta","start":"14:54","end":"16:10","startHours":14.89498303047096,"endHours":16.17425925467473,"quality":"auspicious"},{"name":"Kāla","start":"16:10","end":"17:27","startHours":16.17425925467473,"endHours":17.4535354788785,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:27","end":"19:10","startHours":17.4535354788785,"endHours":19.17425925467473,"quality":"auspicious"},{"name":"Amṛta","start":"19:10","end":"20:54","startHours":19.17425925467473,"endHours":20.89498303047096,"quality":"auspicious"},{"name":"Kāla","start":"20:54","end":"22:37","startHours":20.89498303047096,"endHours":22.61570680626719,"quality":"inauspicious"},{"name":"Śubha","start":"22:37","end":"00:20","startHours":22.61570680626719,"endHours":24.33643058206342,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"02:03","startHours":24.33643058206342,"endHours":26.057154357859652,"quality":"inauspicious"},{"name":"Udveg","start":"02:03","end":"03:47","startHours":26.057154357859652,"endHours":27.777878133655882,"quality":"inauspicious"},{"name":"Chala","start":"03:47","end":"05:30","startHours":27.777878133655882,"endHours":29.498601909452113,"quality":"neutral"},{"name":"Labha","start":"05:30","end":"07:13","startHours":29.498601909452113,"endHours":31.219325685248343,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.219325685248343,"endHours":8.219325685248343,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.219325685248343,"endHours":9.219325685248343,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.219325685248343,"endHours":10.219325685248343,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.219325685248343,"endHours":11.219325685248343,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.219325685248343,"endHours":12.219325685248343,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.219325685248343,"endHours":13.219325685248343,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.219325685248343,"endHours":14.219325685248343,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.219325685248343,"endHours":15.219325685248343,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.219325685248343,"endHours":16.219325685248343,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.219325685248343,"endHours":17.219325685248343,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.219325685248343,"endHours":18.219325685248343,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.219325685248343,"endHours":19.219325685248343,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.219325685248343,"endHours":20.219325685248343,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.219325685248343,"endHours":21.219325685248343,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.219325685248343,"endHours":22.219325685248343,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.219325685248343,"endHours":23.219325685248343,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.219325685248343,"endHours":24.219325685248343,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.219325685248343,"endHours":25.219325685248343,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.219325685248343,"endHours":26.219325685248343,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.219325685248343,"endHours":27.219325685248343,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.219325685248343,"endHours":28.219325685248343,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.219325685248343,"endHours":29.219325685248343,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.219325685248343,"endHours":30.219325685248343,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.219325685248343,"endHours":31.219325685248343,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"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":-23.119553577505084,"eotMinutes":-3.2562349238053434,"ayanamsa":22.917}},"calendars":{"vikram_samvat":1989,"vikram_samvatsara":"Pārthiva","saka_samvat":1854,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1339,"malayalam_era":1108,"nanakshahi_year":463,"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 Caturthī · Vikram 1989 Pārthiva · Śaka 1854 Aṅgirasa"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 December 31, 1932 CE · Ṛṣikeśa · Vidhyamitra","description":"December 31, 1932 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 07:13, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1932-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1932-12-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/1932-12-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/1932-12-31","x-default":"https://vidhyamitra.com/city/rishikesh/1932-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:40:34.781Z","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":"2026-05-31T12:40:34.781Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:40:34.781Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}