{"id":"vidhyamitra:city-day:rishikesh:2052-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2052-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2052-01-07","date_display":"January 7, 2052 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":2052,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470543.770833,"kali_year":5153,"ahargana":1882078.2708,"sun":{"sidereal_longitude":261.5269,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":322.1524,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":60.6255,"elapsed_within_tithi_degrees":0.6255},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":322.1524,"elapsed_within_degrees":2.1524},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":223.6794},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2052,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470543.770833,"ahargana":1882078.2708,"kali_year":5153,"ayanamsa_lahiri":24.5796,"grahas":{"sun":{"sidereal_longitude":261.838618,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":321.70121800000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":2.6612},"mars":{"sidereal_longitude":220.69561799999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":248.64371800000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":160.428718,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":298.7758180000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":293.670018,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":178.436,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":358.436,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"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":2052,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470543.770833,"kali_year":5153,"ahargana":1882078.2708,"sun":{"sidereal_longitude":261.5269,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":322.1524,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":60.6255,"elapsed_within_tithi_degrees":0.6255},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":322.1524,"elapsed_within_degrees":2.1524},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":223.6794},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.661,"elongation":60.625},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.661,"opposition_distance":119.375}},"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":"07:14","sunsetLocal":"17:32","solarNoonLocal":"12:23","dayLengthHours":10.29802241327189,"dayLengthDisplay":"10 Hours 17 Mins 53 Secs","nightLengthDisplay":"13 Hours 42 Mins 07 Secs","moonriseLocal":"10:33","moonsetLocal":"22:13","rahuKala":{"name":"Rāhu Kāla","start":"16:15","end":"17:32","startHours":16.24878631010062,"endHours":17.536039111759607,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:23","end":"13:40","startHours":12.387027905123663,"endHours":13.674280706782648,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:58","end":"16:15","startHours":14.961533508441635,"endHours":16.24878631010062,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.640888594917826,"endHours":9.984156008693555,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.667100965707379,"endHours":7.941714896727963,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:44","startHours":12.043760491347934,"endHours":12.730295318899392,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.864947043384799,"endHours":6.551481870936258,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:14","startHours":6.3798481640483935,"endHours":7.2380166984877174,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:47","startHours":14.10336497400231,"endHours":14.78989980155377,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:20","end":"17:44","startHours":17.336039111759607,"endHours":17.736039111759606,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:32","end":"17:58","startHours":17.536039111759607,"endHours":17.965123378979268,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:17","end":"19:02","startHours":17.286039111759607,"endHours":19.036039111759607,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:44","startHours":24.043760491347932,"endHours":24.730295318899394,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:14","end":"08:32","startHours":7.2380166984877174,"endHours":8.525269500146704,"quality":"inauspicious"},{"name":"Chala","start":"08:32","end":"09:49","startHours":8.525269500146704,"endHours":9.81252230180569,"quality":"neutral"},{"name":"Labha","start":"09:49","end":"11:06","startHours":9.81252230180569,"endHours":11.099775103464676,"quality":"auspicious"},{"name":"Amṛta","start":"11:06","end":"12:23","startHours":11.099775103464676,"endHours":12.387027905123663,"quality":"auspicious"},{"name":"Kāla","start":"12:23","end":"13:40","startHours":12.387027905123663,"endHours":13.674280706782648,"quality":"inauspicious"},{"name":"Śubha","start":"13:40","end":"14:58","startHours":13.674280706782648,"endHours":14.961533508441635,"quality":"auspicious"},{"name":"Roga","start":"14:58","end":"16:15","startHours":14.961533508441635,"endHours":16.24878631010062,"quality":"inauspicious"},{"name":"Udveg","start":"16:15","end":"17:32","startHours":16.24878631010062,"endHours":17.536039111759607,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:32","end":"19:15","startHours":17.536039111759607,"endHours":19.24878631010062,"quality":"auspicious"},{"name":"Roga","start":"19:15","end":"20:58","startHours":19.24878631010062,"endHours":20.961533508441633,"quality":"inauspicious"},{"name":"Udveg","start":"20:58","end":"22:40","startHours":20.961533508441633,"endHours":22.674280706782646,"quality":"inauspicious"},{"name":"Chala","start":"22:40","end":"00:23","startHours":22.674280706782646,"endHours":24.387027905123663,"quality":"neutral"},{"name":"Labha","start":"00:23","end":"02:06","startHours":24.387027905123663,"endHours":26.099775103464676,"quality":"auspicious"},{"name":"Amṛta","start":"02:06","end":"03:49","startHours":26.099775103464676,"endHours":27.81252230180569,"quality":"auspicious"},{"name":"Kāla","start":"03:49","end":"05:32","startHours":27.81252230180569,"endHours":29.525269500146706,"quality":"inauspicious"},{"name":"Śubha","start":"05:32","end":"07:14","startHours":29.525269500146706,"endHours":31.23801669848772,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.2380166984877174,"endHours":8.238016698487717,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.238016698487717,"endHours":9.238016698487717,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.238016698487717,"endHours":10.238016698487717,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.238016698487717,"endHours":11.238016698487717,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.238016698487717,"endHours":12.238016698487717,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.238016698487717,"endHours":13.238016698487717,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.238016698487717,"endHours":14.238016698487717,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.238016698487717,"endHours":15.238016698487717,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.238016698487717,"endHours":16.23801669848772,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.23801669848772,"endHours":17.23801669848772,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.23801669848772,"endHours":18.23801669848772,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.23801669848772,"endHours":19.23801669848772,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.23801669848772,"endHours":20.23801669848772,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.23801669848772,"endHours":21.23801669848772,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.23801669848772,"endHours":22.23801669848772,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.23801669848772,"endHours":23.23801669848772,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.23801669848772,"endHours":24.23801669848772,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.23801669848772,"endHours":25.23801669848772,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.23801669848772,"endHours":26.23801669848772,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.23801669848772,"endHours":27.23801669848772,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.23801669848772,"endHours":28.23801669848772,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.23801669848772,"endHours":29.23801669848772,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.23801669848772,"endHours":30.23801669848772,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.23801669848772,"endHours":31.23801669848772,"planetary_lord":"Jupiter"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.427530988808147,"eotMinutes":-6.292074307419696,"ayanamsa":24.5796}},"calendars":{"vikram_samvat":2109,"vikram_samvatsara":"Pārthiva","saka_samvat":1974,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1459,"malayalam_era":1228,"nanakshahi_year":583,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ṣaṣṭhī · Vikram 2109 Pārthiva · Śaka 1974 Aṅgirasa"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 January 7, 2052 CE · Ṛṣikeśa · Vidhyamitra","description":"January 7, 2052 CE for Ṛṣikeśa: Śukla Ṣaṣṭhī, sūryodaya 07:14, sūryāsta 17:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2052-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2052-01-07","sa":"https://sa.vidhyamitra.com/city/rishikesh/2052-01-07","hi":"https://hi.vidhyamitra.com/city/rishikesh/2052-01-07","x-default":"https://vidhyamitra.com/city/rishikesh/2052-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T16:46:33.663Z","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":"2026-05-16T16:46:33.663Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T16:46:33.663Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}