{"id":"vidhyamitra:city-day:rishikesh:2001-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2001-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-12-04","date_display":"December 4, 2001 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":2001,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452247.770833,"kali_year":5103,"ahargana":1863782.2708,"sun":{"sidereal_longitude":227.5899,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":86.8627,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.2728,"elapsed_within_tithi_degrees":3.2728},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":86.8627,"elapsed_within_degrees":6.8627},"yoga":{"number":24,"name":"Śukla","sum_longitude":314.4526},"karana":{"half_tithi_index":36,"name":"Bava"},"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":2001,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452247.770833,"ahargana":1863782.2708,"kali_year":5103,"ayanamsa_lahiri":23.8799,"grahas":{"sun":{"sidereal_longitude":228.07175899999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":88.331659,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":1.4649},"mars":{"sidereal_longitude":302.579659,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":227.518459,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":80.11265900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"venus":{"sidereal_longitude":218.10975899999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":47.460959,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":67.8461,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.8461,"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":2001,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452247.770833,"kali_year":5103,"ahargana":1863782.2708,"sun":{"sidereal_longitude":227.5899,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":86.8627,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.2728,"elapsed_within_tithi_degrees":3.2728},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":86.8627,"elapsed_within_degrees":6.8627},"yoga":{"number":24,"name":"Śukla","sum_longitude":314.4526},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.465,"elongation":140.727},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.465,"opposition_distance":39.273}},"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":"06:58","sunsetLocal":"17:17","solarNoonLocal":"12:08","dayLengthHours":10.317024865001038,"dayLengthDisplay":"10 Hours 19 Mins 01 Secs","nightLengthDisplay":"13 Hours 40 Mins 59 Secs","moonriseLocal":"19:53","moonsetLocal":"09:45","rahuKala":{"name":"Rāhu Kāla","start":"14:43","end":"16:00","startHours":14.712069140681875,"endHours":16.001697248807005,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:33","end":"10:51","startHours":9.553556708181356,"endHours":10.843184816306486,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:08","end":"13:25","startHours":12.132812924431615,"endHours":13.422441032556744,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:44","startHours":9.381606293764673,"endHours":9.725507122598039,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:41","startHours":7.4041765279728065,"endHours":7.679297191039501,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:29","startHours":11.788912095598247,"endHours":12.476713753264983,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:36","end":"06:17","startHours":5.598697176597625,"endHours":6.286498834264361,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"06:58","startHours":6.114548419847677,"endHours":6.974300491931096,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.852317068598454,"endHours":14.54011872626519,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.091325356932135,"endHours":17.491325356932133,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:43","startHours":17.291325356932134,"endHours":17.721201392973843,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.041325356932134,"endHours":18.791325356932134,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:29","startHours":23.788912095598246,"endHours":24.476713753264985,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:58","end":"08:16","startHours":6.974300491931096,"endHours":8.263928600056225,"quality":"inauspicious"},{"name":"Udveg","start":"08:16","end":"09:33","startHours":8.263928600056225,"endHours":9.553556708181356,"quality":"inauspicious"},{"name":"Chala","start":"09:33","end":"10:51","startHours":9.553556708181356,"endHours":10.843184816306486,"quality":"neutral"},{"name":"Labha","start":"10:51","end":"12:08","startHours":10.843184816306486,"endHours":12.132812924431615,"quality":"auspicious"},{"name":"Amṛta","start":"12:08","end":"13:25","startHours":12.132812924431615,"endHours":13.422441032556744,"quality":"auspicious"},{"name":"Kāla","start":"13:25","end":"14:43","startHours":13.422441032556744,"endHours":14.712069140681875,"quality":"inauspicious"},{"name":"Śubha","start":"14:43","end":"16:00","startHours":14.712069140681875,"endHours":16.001697248807005,"quality":"auspicious"},{"name":"Roga","start":"16:00","end":"17:17","startHours":16.001697248807005,"endHours":17.291325356932134,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:17","end":"19:00","startHours":17.291325356932134,"endHours":19.001697248807005,"quality":"inauspicious"},{"name":"Śubha","start":"19:00","end":"20:43","startHours":19.001697248807005,"endHours":20.712069140681876,"quality":"auspicious"},{"name":"Roga","start":"20:43","end":"22:25","startHours":20.712069140681876,"endHours":22.422441032556744,"quality":"inauspicious"},{"name":"Udveg","start":"22:25","end":"00:08","startHours":22.422441032556744,"endHours":24.132812924431615,"quality":"inauspicious"},{"name":"Chala","start":"00:08","end":"01:51","startHours":24.132812924431615,"endHours":25.843184816306486,"quality":"neutral"},{"name":"Labha","start":"01:51","end":"03:33","startHours":25.843184816306486,"endHours":27.553556708181354,"quality":"auspicious"},{"name":"Amṛta","start":"03:33","end":"05:16","startHours":27.553556708181354,"endHours":29.263928600056225,"quality":"auspicious"},{"name":"Kāla","start":"05:16","end":"06:58","startHours":29.263928600056225,"endHours":30.974300491931096,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.974300491931096,"endHours":7.974300491931096,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.974300491931096,"endHours":8.974300491931096,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.974300491931096,"endHours":9.974300491931096,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.974300491931096,"endHours":10.974300491931096,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.974300491931096,"endHours":11.974300491931096,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.974300491931096,"endHours":12.974300491931096,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.974300491931096,"endHours":13.974300491931096,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.974300491931096,"endHours":14.974300491931096,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.974300491931096,"endHours":15.974300491931096,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.974300491931096,"endHours":16.974300491931096,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.974300491931096,"endHours":17.974300491931096,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.974300491931096,"endHours":18.974300491931096,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.974300491931096,"endHours":19.974300491931096,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.974300491931096,"endHours":20.974300491931096,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.974300491931096,"endHours":21.974300491931096,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.974300491931096,"endHours":22.974300491931096,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.974300491931096,"endHours":23.974300491931096,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.974300491931096,"endHours":24.974300491931096,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.974300491931096,"endHours":25.974300491931096,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.974300491931096,"endHours":26.974300491931096,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.974300491931096,"endHours":27.974300491931096,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.974300491931096,"endHours":28.974300491931096,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.974300491931096,"endHours":29.974300491931096,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.974300491931096,"endHours":30.974300491931096,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"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":-22.219892535067206,"eotMinutes":8.960824534103129,"ayanamsa":23.8799}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Caturthī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"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},{"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":"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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 4, 2001 CE · Ṛṣikeśa · Vidhyamitra","description":"December 4, 2001 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 06:58, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2001-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2001-12-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2001-12-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2001-12-04","x-default":"https://vidhyamitra.com/city/rishikesh/2001-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T18:45:25.184Z","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":"2026-05-16T18:45:25.184Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T18:45:25.184Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}