{"id":"vidhyamitra:city-day:rishikesh:-3101-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/-3101-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3101-01-05","date_display":"January 5, 3102 BCE","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":-3101,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588421.770833,"kali_year":0,"ahargana":-43.7292,"sun":{"sidereal_longitude":318.9929,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":138.9591,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":179.9663,"elapsed_within_tithi_degrees":11.9663},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":138.9591,"elapsed_within_degrees":5.6258},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":97.952},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3101,"month":1,"day":5,"hour":6,"minute":30,"calendar":"julian"},"julian_day":588421.770833,"ahargana":-43.7292,"kali_year":0,"ayanamsa_lahiri":-47.4045,"grahas":{"sun":{"sidereal_longitude":318.9929,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":138.9591,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":-3.0878},"mars":{"sidereal_longitude":331.8941,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":291.9807,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":351.1885,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":306.4624,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":347.0796,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":182.317,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":2.317,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"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":-3101,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588421.770833,"kali_year":0,"ahargana":-43.7292,"sun":{"sidereal_longitude":318.9929,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":138.9591,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":179.9663,"elapsed_within_tithi_degrees":11.9663},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":138.9591,"elapsed_within_degrees":5.6258},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":97.952},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.088,"elongation":179.966},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.088,"opposition_distance":0.034}},"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":"07:16","sunsetLocal":"17:29","solarNoonLocal":"12:22","dayLengthHours":10.20561948226861,"dayLengthDisplay":"10 Hours 12 Mins 20 Secs","nightLengthDisplay":"13 Hours 47 Mins 40 Secs","moonriseLocal":"17:21","moonsetLocal":"07:23","rahuKala":{"name":"Rāhu Kāla","start":"12:22","end":"13:39","startHours":12.37303951040272,"endHours":13.648741945686295,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:33","end":"09:49","startHours":8.54593220455199,"endHours":9.821634639835565,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:06","end":"12:22","startHours":11.097337075119142,"endHours":12.37303951040272,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.651540981797757,"endHours":9.991728297873376,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:42","end":"07:58","startHours":7.695463914362939,"endHours":7.967613767223436,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:43","startHours":12.032852194327099,"endHours":12.71322682647834,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:55","end":"06:35","startHours":5.9094805049659325,"endHours":6.589855137117174,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:25","end":"07:16","startHours":6.419761479079363,"endHours":7.270229769268414,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:45","startHours":14.073976090780821,"endHours":14.754350722932061,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.275849251537025,"endHours":17.675849251537024,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:54","startHours":17.475849251537024,"endHours":17.90108339663155,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.225849251537024,"endHours":18.975849251537024,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:43","startHours":24.0328521943271,"endHours":24.71322682647834,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:16","end":"08:33","startHours":7.270229769268414,"endHours":8.54593220455199,"quality":"auspicious"},{"name":"Amṛta","start":"08:33","end":"09:49","startHours":8.54593220455199,"endHours":9.821634639835565,"quality":"auspicious"},{"name":"Kāla","start":"09:49","end":"11:06","startHours":9.821634639835565,"endHours":11.097337075119142,"quality":"inauspicious"},{"name":"Śubha","start":"11:06","end":"12:22","startHours":11.097337075119142,"endHours":12.37303951040272,"quality":"auspicious"},{"name":"Roga","start":"12:22","end":"13:39","startHours":12.37303951040272,"endHours":13.648741945686295,"quality":"inauspicious"},{"name":"Udveg","start":"13:39","end":"14:55","startHours":13.648741945686295,"endHours":14.92444438096987,"quality":"inauspicious"},{"name":"Chala","start":"14:55","end":"16:12","startHours":14.92444438096987,"endHours":16.200146816253447,"quality":"neutral"},{"name":"Labha","start":"16:12","end":"17:29","startHours":16.200146816253447,"endHours":17.475849251537024,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:29","end":"19:12","startHours":17.475849251537024,"endHours":19.200146816253447,"quality":"inauspicious"},{"name":"Chala","start":"19:12","end":"20:55","startHours":19.200146816253447,"endHours":20.924444380969874,"quality":"neutral"},{"name":"Labha","start":"20:55","end":"22:39","startHours":20.924444380969874,"endHours":22.648741945686297,"quality":"auspicious"},{"name":"Amṛta","start":"22:39","end":"00:22","startHours":22.648741945686297,"endHours":24.37303951040272,"quality":"auspicious"},{"name":"Kāla","start":"00:22","end":"02:06","startHours":24.37303951040272,"endHours":26.097337075119142,"quality":"inauspicious"},{"name":"Śubha","start":"02:06","end":"03:49","startHours":26.097337075119142,"endHours":27.821634639835565,"quality":"auspicious"},{"name":"Roga","start":"03:49","end":"05:33","startHours":27.821634639835565,"endHours":29.545932204551992,"quality":"inauspicious"},{"name":"Udveg","start":"05:33","end":"07:16","startHours":29.545932204551992,"endHours":31.270229769268415,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:16","end":"08:16","startHours":7.270229769268414,"endHours":8.270229769268415,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:16","end":"09:16","startHours":8.270229769268415,"endHours":9.270229769268415,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:16","end":"10:16","startHours":9.270229769268415,"endHours":10.270229769268415,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:16","end":"11:16","startHours":10.270229769268415,"endHours":11.270229769268415,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:16","end":"12:16","startHours":11.270229769268415,"endHours":12.270229769268415,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:16","end":"13:16","startHours":12.270229769268415,"endHours":13.270229769268415,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:16","end":"14:16","startHours":13.270229769268415,"endHours":14.270229769268415,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:16","end":"15:16","startHours":14.270229769268415,"endHours":15.270229769268415,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:16","end":"16:16","startHours":15.270229769268415,"endHours":16.270229769268415,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:16","end":"17:16","startHours":16.270229769268415,"endHours":17.270229769268415,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:16","end":"18:16","startHours":17.270229769268415,"endHours":18.270229769268415,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:16","end":"19:16","startHours":18.270229769268415,"endHours":19.270229769268415,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:16","end":"20:16","startHours":19.270229769268415,"endHours":20.270229769268415,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:16","end":"21:16","startHours":20.270229769268415,"endHours":21.270229769268415,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:16","end":"22:16","startHours":21.270229769268415,"endHours":22.270229769268415,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:16","end":"23:16","startHours":22.270229769268415,"endHours":23.270229769268415,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:16","end":"00:16","startHours":23.270229769268415,"endHours":24.270229769268415,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:16","end":"01:16","startHours":24.270229769268415,"endHours":25.270229769268415,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:16","end":"02:16","startHours":25.270229769268415,"endHours":26.270229769268415,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:16","end":"03:16","startHours":26.270229769268415,"endHours":27.270229769268415,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:16","end":"04:16","startHours":27.270229769268415,"endHours":28.270229769268415,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:16","end":"05:16","startHours":28.270229769268415,"endHours":29.270229769268415,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:16","end":"06:16","startHours":29.270229769268415,"endHours":30.270229769268415,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:16","end":"07:16","startHours":30.270229769268415,"endHours":31.270229769268415,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.426956494665415,"eotMinutes":-5.452770624163118,"ayanamsa":-47.4045}},"calendars":{"vikram_samvat":-3044,"saka_samvat":-3179,"bengali_samvat":-3694,"malayalam_era":-3925,"nanakshahi_year":-4570,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Pūrṇimā · Vikram -3044 undefined · Śaka -3179 undefined"},"festivals":[{"id":"holi","name":"Holi (Phālguna Pūrṇimā)","name_sanskrit":"होली","tradition":"Pan-Hindu","significance":"Festival of colors; Holikā-dahana eve.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Phālguna"},"precedence":1},{"id":"lakshmi-jayanti","name":"Lakṣmī Jayantī","name_sanskrit":"लक्ष्मी जयन्ती","tradition":"Vaishnava","associated_deity":"Mahā-Lakṣmī","significance":"Birth of Mahā-Lakṣmī from samudra-mathana (Phālguna Pūrṇimā tradition).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Phālguna"},"precedence":2,"sources":["Bhāgavata 8.8"]},{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":true,"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 5, 3102 BCE · Ṛṣikeśa · Vidhyamitra","description":"January 5, 3102 BCE for Ṛṣikeśa: Śukla Pūrṇimā, sūryodaya 07:16, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/-3101-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/-3101-01-05","sa":"https://sa.vidhyamitra.com/city/rishikesh/-3101-01-05","hi":"https://hi.vidhyamitra.com/city/rishikesh/-3101-01-05","x-default":"https://vidhyamitra.com/city/rishikesh/-3101-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T10:11:40.341Z","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":"2026-05-24T10:11:40.341Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T10:11:40.341Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}