{"id":"vidhyamitra:city-day:rishikesh:2039-12-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2039-12-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-03","date_display":"December 3, 2039 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":2039,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466125.770833,"kali_year":5141,"ahargana":1877660.2708,"sun":{"sidereal_longitude":225.7167,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":74.0084,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.2917,"elapsed_within_tithi_degrees":4.2917},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.0084,"elapsed_within_degrees":7.3417},"yoga":{"number":23,"name":"Śubha","sum_longitude":299.7251},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2039,"month":12,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466125.770833,"ahargana":1877660.2708,"kali_year":5141,"ayanamsa_lahiri":24.4107,"grahas":{"sun":{"sidereal_longitude":226.30311800000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":71.57311800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":1.6467},"mars":{"sidereal_longitude":86.11881799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":208.303318,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":153.660218,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":183.94971799999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":164.81631800000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":52.5229,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":232.5229,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2039,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466125.770833,"kali_year":5141,"ahargana":1877660.2708,"sun":{"sidereal_longitude":225.7167,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":74.0084,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.2917,"elapsed_within_tithi_degrees":4.2917},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.0084,"elapsed_within_degrees":7.3417},"yoga":{"number":23,"name":"Śubha","sum_longitude":299.7251},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.647,"elongation":151.708},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.647,"opposition_distance":28.292}},"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":"17:18","solarNoonLocal":"12:08","dayLengthHours":10.332544937088024,"dayLengthDisplay":"10 Hours 19 Mins 57 Secs","nightLengthDisplay":"13 Hours 40 Mins 03 Secs","moonriseLocal":"18:48","moonsetLocal":"08:49","rahuKala":{"name":"Rāhu Kāla","start":"09:33","end":"10:50","startHours":9.543043316883695,"endHours":10.834611434019699,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:25","end":"14:43","startHours":13.417747668291703,"endHours":14.709315785427707,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:58","end":"08:15","startHours":6.959907082611689,"endHours":8.251475199747691,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:43","startHours":9.370834234598895,"endHours":9.715252399168495,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.39042978832369,"endHours":7.665964319979371,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:28","startHours":11.7817613865861,"endHours":12.470597715725303,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:16","startHours":5.582234424333286,"endHours":6.271070753472488,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:06","end":"06:58","startHours":6.098861671187687,"endHours":6.959907082611689,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.848270374003704,"endHours":14.537106703142905,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.092452019699714,"endHours":17.492452019699712,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:43","startHours":17.292452019699713,"endHours":17.722974725411714,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.042452019699713,"endHours":18.792452019699713,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:28","startHours":23.7817613865861,"endHours":24.4705977157253,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:58","end":"08:15","startHours":6.959907082611689,"endHours":8.251475199747691,"quality":"inauspicious"},{"name":"Śubha","start":"08:15","end":"09:33","startHours":8.251475199747691,"endHours":9.543043316883695,"quality":"auspicious"},{"name":"Roga","start":"09:33","end":"10:50","startHours":9.543043316883695,"endHours":10.834611434019699,"quality":"inauspicious"},{"name":"Udveg","start":"10:50","end":"12:08","startHours":10.834611434019699,"endHours":12.126179551155701,"quality":"inauspicious"},{"name":"Chala","start":"12:08","end":"13:25","startHours":12.126179551155701,"endHours":13.417747668291703,"quality":"neutral"},{"name":"Labha","start":"13:25","end":"14:43","startHours":13.417747668291703,"endHours":14.709315785427707,"quality":"auspicious"},{"name":"Amṛta","start":"14:43","end":"16:00","startHours":14.709315785427707,"endHours":16.00088390256371,"quality":"auspicious"},{"name":"Kāla","start":"16:00","end":"17:18","startHours":16.00088390256371,"endHours":17.292452019699713,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:18","end":"19:00","startHours":17.292452019699713,"endHours":19.00088390256371,"quality":"auspicious"},{"name":"Amṛta","start":"19:00","end":"20:43","startHours":19.00088390256371,"endHours":20.709315785427705,"quality":"auspicious"},{"name":"Kāla","start":"20:43","end":"22:25","startHours":20.709315785427705,"endHours":22.417747668291703,"quality":"inauspicious"},{"name":"Śubha","start":"22:25","end":"00:08","startHours":22.417747668291703,"endHours":24.1261795511557,"quality":"auspicious"},{"name":"Roga","start":"00:08","end":"01:50","startHours":24.1261795511557,"endHours":25.8346114340197,"quality":"inauspicious"},{"name":"Udveg","start":"01:50","end":"03:33","startHours":25.8346114340197,"endHours":27.543043316883697,"quality":"inauspicious"},{"name":"Chala","start":"03:33","end":"05:15","startHours":27.543043316883697,"endHours":29.25147519974769,"quality":"neutral"},{"name":"Labha","start":"05:15","end":"06:58","startHours":29.25147519974769,"endHours":30.95990708261169,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.959907082611689,"endHours":7.959907082611689,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.959907082611689,"endHours":8.95990708261169,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.95990708261169,"endHours":9.95990708261169,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.95990708261169,"endHours":10.95990708261169,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.95990708261169,"endHours":11.95990708261169,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.95990708261169,"endHours":12.95990708261169,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.95990708261169,"endHours":13.95990708261169,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.95990708261169,"endHours":14.95990708261169,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.95990708261169,"endHours":15.95990708261169,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.95990708261169,"endHours":16.95990708261169,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.95990708261169,"endHours":17.95990708261169,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.95990708261169,"endHours":18.95990708261169,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.95990708261169,"endHours":19.95990708261169,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.95990708261169,"endHours":20.95990708261169,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.95990708261169,"endHours":21.95990708261169,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.95990708261169,"endHours":22.95990708261169,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.95990708261169,"endHours":23.95990708261169,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.95990708261169,"endHours":24.95990708261169,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.95990708261169,"endHours":25.95990708261169,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.95990708261169,"endHours":26.95990708261169,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.95990708261169,"endHours":27.95990708261169,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.95990708261169,"endHours":28.95990708261169,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.95990708261169,"endHours":29.95990708261169,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.95990708261169,"endHours":30.95990708261169,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.049777238160104,"eotMinutes":9.35882693065794,"ayanamsa":24.4107}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Tṛtīyā · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[],"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 3, 2039 CE · Ṛṣikeśa · Vidhyamitra","description":"December 3, 2039 CE for Ṛṣikeśa: Kṛṣṇa Tṛtīyā, sūryodaya 06:58, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2039-12-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2039-12-03","sa":"https://sa.vidhyamitra.com/city/rishikesh/2039-12-03","hi":"https://hi.vidhyamitra.com/city/rishikesh/2039-12-03","x-default":"https://vidhyamitra.com/city/rishikesh/2039-12-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:47:47.362Z","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":"2026-06-01T03:47:47.362Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:47:47.362Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}