{"id":"vidhyamitra:city-day:rishikesh:2165-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2165-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-01-01","date_display":"January 1, 2165 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":2165,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511810.770833,"kali_year":5266,"ahargana":1923345.2708,"sun":{"sidereal_longitude":254.0841,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":116.7642,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.6801,"elapsed_within_tithi_degrees":6.6801},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":116.7642,"elapsed_within_degrees":10.0975},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.8483},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":2165,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511810.770833,"ahargana":1923345.2708,"kali_year":5266,"ayanamsa_lahiri":26.1579,"grahas":{"sun":{"sidereal_longitude":254.725915,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":113.98951499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false,"latitude":-2.5888},"mars":{"sidereal_longitude":232.49771499999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":250.36571500000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":324.05711500000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":242.79991500000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":242.86971500000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":151.9118,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":331.9118,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2165,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511810.770833,"kali_year":5266,"ahargana":1923345.2708,"sun":{"sidereal_longitude":254.0841,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":116.7642,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.6801,"elapsed_within_tithi_degrees":6.6801},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":116.7642,"elapsed_within_degrees":10.0975},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.8483},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.589,"elongation":137.32},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.589,"opposition_distance":42.68}},"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":"07:13","sunsetLocal":"17:28","solarNoonLocal":"12:21","dayLengthHours":10.246169565727925,"dayLengthDisplay":"10 Hours 14 Mins 46 Secs","nightLengthDisplay":"13 Hours 45 Mins 14 Secs","moonriseLocal":"20:20","moonsetLocal":"09:36","rahuKala":{"name":"Rāhu Kāla","start":"14:54","end":"16:11","startHours":14.905455363488581,"endHours":16.186226559204574,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:47","end":"11:04","startHours":9.782370580624619,"endHours":11.063141776340611,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:21","end":"13:37","startHours":12.3439129720566,"endHours":13.624684167772593,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:57","startHours":9.611601087862487,"endHours":9.953140073386752,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:55","startHours":7.647751921097969,"endHours":7.920983109517381,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:41","startHours":12.002373986532335,"endHours":12.685451957580865,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.854672247095582,"endHours":6.53775021814411,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.366980725381978,"endHours":7.2208281891926385,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:44","startHours":14.051607899677922,"endHours":14.73468587072645,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.266997754920563,"endHours":17.666997754920562,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.466997754920563,"endHours":17.893921486825892,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.216997754920563,"endHours":18.966997754920563,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:41","startHours":24.002373986532337,"endHours":24.685451957580863,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:13","end":"08:30","startHours":7.2208281891926385,"endHours":8.50159938490863,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:47","startHours":8.50159938490863,"endHours":9.782370580624619,"quality":"inauspicious"},{"name":"Chala","start":"09:47","end":"11:04","startHours":9.782370580624619,"endHours":11.063141776340611,"quality":"neutral"},{"name":"Labha","start":"11:04","end":"12:21","startHours":11.063141776340611,"endHours":12.3439129720566,"quality":"auspicious"},{"name":"Amṛta","start":"12:21","end":"13:37","startHours":12.3439129720566,"endHours":13.624684167772593,"quality":"auspicious"},{"name":"Kāla","start":"13:37","end":"14:54","startHours":13.624684167772593,"endHours":14.905455363488581,"quality":"inauspicious"},{"name":"Śubha","start":"14:54","end":"16:11","startHours":14.905455363488581,"endHours":16.186226559204574,"quality":"auspicious"},{"name":"Roga","start":"16:11","end":"17:28","startHours":16.186226559204574,"endHours":17.466997754920563,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:28","end":"19:11","startHours":17.466997754920563,"endHours":19.18622655920457,"quality":"inauspicious"},{"name":"Śubha","start":"19:11","end":"20:54","startHours":19.18622655920457,"endHours":20.90545536348858,"quality":"auspicious"},{"name":"Roga","start":"20:54","end":"22:37","startHours":20.90545536348858,"endHours":22.624684167772593,"quality":"inauspicious"},{"name":"Udveg","start":"22:37","end":"00:21","startHours":22.624684167772593,"endHours":24.3439129720566,"quality":"inauspicious"},{"name":"Chala","start":"00:21","end":"02:04","startHours":24.3439129720566,"endHours":26.063141776340608,"quality":"neutral"},{"name":"Labha","start":"02:04","end":"03:47","startHours":26.063141776340608,"endHours":27.78237058062462,"quality":"auspicious"},{"name":"Amṛta","start":"03:47","end":"05:30","startHours":27.78237058062462,"endHours":29.50159938490863,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:13","startHours":29.50159938490863,"endHours":31.220828189192638,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.2208281891926385,"endHours":8.220828189192638,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.220828189192638,"endHours":9.220828189192638,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.220828189192638,"endHours":10.220828189192638,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.220828189192638,"endHours":11.220828189192638,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.220828189192638,"endHours":12.220828189192638,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.220828189192638,"endHours":13.220828189192638,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.220828189192638,"endHours":14.220828189192638,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.220828189192638,"endHours":15.220828189192638,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.220828189192638,"endHours":16.220828189192638,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.220828189192638,"endHours":17.220828189192638,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.220828189192638,"endHours":18.220828189192638,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.220828189192638,"endHours":19.220828189192638,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.220828189192638,"endHours":20.220828189192638,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.220828189192638,"endHours":21.220828189192638,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.220828189192638,"endHours":22.220828189192638,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.220828189192638,"endHours":23.220828189192638,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.220828189192638,"endHours":24.220828189192638,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.220828189192638,"endHours":25.220828189192638,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.220828189192638,"endHours":26.220828189192638,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.220828189192638,"endHours":27.220828189192638,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.220828189192638,"endHours":28.220828189192638,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.220828189192638,"endHours":29.220828189192638,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.220828189192638,"endHours":30.220828189192638,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.220828189192638,"endHours":31.220828189192638,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.99047433327659,"eotMinutes":-3.705178323396069,"ayanamsa":26.1579}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"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":"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":[]},"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 1, 2165 CE · Ṛṣikeśa · Vidhyamitra","description":"January 1, 2165 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 07:13, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2165-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2165-01-01","sa":"https://sa.vidhyamitra.com/city/rishikesh/2165-01-01","hi":"https://hi.vidhyamitra.com/city/rishikesh/2165-01-01","x-default":"https://vidhyamitra.com/city/rishikesh/2165-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-29T14:54:52.145Z","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":"2026-05-29T14:54:52.145Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-29T14:54:52.145Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}