{"id":"vidhyamitra:city-day:rishikesh:1933-12-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1933-12-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1933-12-07","date_display":"December 7, 1933 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":1933,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2427413.770833,"kali_year":5035,"ahargana":1838948.2708,"sun":{"sidereal_longitude":231.2684,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":109.1543,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.8859,"elapsed_within_tithi_degrees":9.8859},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.1543,"elapsed_within_degrees":2.4876},"yoga":{"number":26,"name":"Indra","sum_longitude":340.4227},"karana":{"half_tithi_index":39,"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":1933,"month":12,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2427413.770833,"ahargana":1838948.2708,"kali_year":5035,"ayanamsa_lahiri":22.9301,"grahas":{"sun":{"sidereal_longitude":231.55990099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":105.626601,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":1.1269},"mars":{"sidereal_longitude":261.57500099999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":211.809801,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":175.37480099999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":279.20540099999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":289.571901,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":303.671,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.671,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":1933,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2427413.770833,"kali_year":5035,"ahargana":1838948.2708,"sun":{"sidereal_longitude":231.2684,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":109.1543,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.8859,"elapsed_within_tithi_degrees":9.8859},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.1543,"elapsed_within_degrees":2.4876},"yoga":{"number":26,"name":"Indra","sum_longitude":340.4227},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.127,"elongation":122.114},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.127,"opposition_distance":57.886}},"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":"07:01","sunsetLocal":"17:18","solarNoonLocal":"12:09","dayLengthHours":10.288156653814589,"dayLengthDisplay":"10 Hours 17 Mins 17 Secs","nightLengthDisplay":"13 Hours 42 Mins 43 Secs","moonriseLocal":"20:59","moonsetLocal":"10:32","rahuKala":{"name":"Rāhu Kāla","start":"13:26","end":"14:44","startHours":13.439451306337869,"endHours":14.725470888064692,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:01","end":"08:18","startHours":7.009353397703751,"endHours":8.295372979430574,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:35","end":"10:52","startHours":9.581392561157397,"endHours":10.867412142884222,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:25","end":"09:45","startHours":9.409923283593821,"endHours":9.752861838720975,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:43","startHours":7.438026591612692,"endHours":7.712377435714414,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:30","startHours":11.810493169483893,"endHours":12.4963702797382,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:19","startHours":5.637599177195138,"endHours":6.323476287449445,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:01","startHours":6.152007009885868,"endHours":7.009353397703751,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:33","startHours":13.868124500246811,"endHours":14.554001610501118,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.09751005151834,"endHours":17.49751005151834,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:44","startHours":17.29751005151834,"endHours":17.726183245427283,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.04751005151834,"endHours":18.79751005151834,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:30","startHours":23.810493169483895,"endHours":24.496370279738198,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:01","end":"08:18","startHours":7.009353397703751,"endHours":8.295372979430574,"quality":"auspicious"},{"name":"Roga","start":"08:18","end":"09:35","startHours":8.295372979430574,"endHours":9.581392561157397,"quality":"inauspicious"},{"name":"Udveg","start":"09:35","end":"10:52","startHours":9.581392561157397,"endHours":10.867412142884222,"quality":"inauspicious"},{"name":"Chala","start":"10:52","end":"12:09","startHours":10.867412142884222,"endHours":12.153431724611046,"quality":"neutral"},{"name":"Labha","start":"12:09","end":"13:26","startHours":12.153431724611046,"endHours":13.439451306337869,"quality":"auspicious"},{"name":"Amṛta","start":"13:26","end":"14:44","startHours":13.439451306337869,"endHours":14.725470888064692,"quality":"auspicious"},{"name":"Kāla","start":"14:44","end":"16:01","startHours":14.725470888064692,"endHours":16.011490469791518,"quality":"inauspicious"},{"name":"Śubha","start":"16:01","end":"17:18","startHours":16.011490469791518,"endHours":17.29751005151834,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:18","end":"19:01","startHours":17.29751005151834,"endHours":19.011490469791518,"quality":"auspicious"},{"name":"Kāla","start":"19:01","end":"20:44","startHours":19.011490469791518,"endHours":20.72547088806469,"quality":"inauspicious"},{"name":"Śubha","start":"20:44","end":"22:26","startHours":20.72547088806469,"endHours":22.43945130633787,"quality":"auspicious"},{"name":"Roga","start":"22:26","end":"00:09","startHours":22.43945130633787,"endHours":24.153431724611046,"quality":"inauspicious"},{"name":"Udveg","start":"00:09","end":"01:52","startHours":24.153431724611046,"endHours":25.867412142884223,"quality":"inauspicious"},{"name":"Chala","start":"01:52","end":"03:35","startHours":25.867412142884223,"endHours":27.5813925611574,"quality":"neutral"},{"name":"Labha","start":"03:35","end":"05:18","startHours":27.5813925611574,"endHours":29.295372979430574,"quality":"auspicious"},{"name":"Amṛta","start":"05:18","end":"07:01","startHours":29.295372979430574,"endHours":31.00935339770375,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.009353397703751,"endHours":8.009353397703752,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.009353397703752,"endHours":9.009353397703752,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.009353397703752,"endHours":10.009353397703752,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.009353397703752,"endHours":11.009353397703752,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.009353397703752,"endHours":12.009353397703752,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.009353397703752,"endHours":13.009353397703752,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.009353397703752,"endHours":14.009353397703752,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.009353397703752,"endHours":15.009353397703752,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.009353397703752,"endHours":16.00935339770375,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.00935339770375,"endHours":17.00935339770375,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.00935339770375,"endHours":18.00935339770375,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.00935339770375,"endHours":19.00935339770375,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.00935339770375,"endHours":20.00935339770375,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.00935339770375,"endHours":21.00935339770375,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.00935339770375,"endHours":22.00935339770375,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.00935339770375,"endHours":23.00935339770375,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.00935339770375,"endHours":24.00935339770375,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.00935339770375,"endHours":25.00935339770375,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.00935339770375,"endHours":26.00935339770375,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.00935339770375,"endHours":27.00935339770375,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.00935339770375,"endHours":28.00935339770375,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.00935339770375,"endHours":29.00935339770375,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.00935339770375,"endHours":30.00935339770375,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.00935339770375,"endHours":31.00935339770375,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.535051487516093,"eotMinutes":7.723696523337262,"ayanamsa":22.9301}},"calendars":{"vikram_samvat":1990,"vikram_samvatsara":"Vyaya","saka_samvat":1855,"saka_samvatsara":"Śrīmukha","bengali_samvat":1340,"malayalam_era":1109,"nanakshahi_year":464,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Pañcamī · Vikram 1990 Vyaya · Śaka 1855 Śrīmukha"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"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 December 7, 1933 CE · Ṛṣikeśa · Vidhyamitra","description":"December 7, 1933 CE for Ṛṣikeśa: Kṛṣṇa Pañcamī, sūryodaya 07:01, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1933-12-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1933-12-07","sa":"https://sa.vidhyamitra.com/city/rishikesh/1933-12-07","hi":"https://hi.vidhyamitra.com/city/rishikesh/1933-12-07","x-default":"https://vidhyamitra.com/city/rishikesh/1933-12-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-23T02:04:52.236Z","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":"2026-05-23T02:04:52.236Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-23T02:04:52.236Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}