{"id":"vidhyamitra:city-day:rishikesh:2165-01-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2165-01-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-01-09","date_display":"January 9, 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":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511818.770833,"kali_year":5266,"ahargana":1923353.2708,"sun":{"sidereal_longitude":262.3087,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":214.2622,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.9535,"elapsed_within_tithi_degrees":11.9535},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":214.2622,"elapsed_within_degrees":0.9289},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.5709},"karana":{"half_tithi_index":51,"name":"Bālava"},"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":2165,"month":1,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511818.770833,"ahargana":1923353.2708,"kali_year":5266,"ayanamsa_lahiri":26.1582,"grahas":{"sun":{"sidereal_longitude":262.8784089999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":213.09980900000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false,"latitude":4.0006},"mars":{"sidereal_longitude":238.313809,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":263.301609,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":325.312909,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":252.86350900000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":243.79550900000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":151.4879,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":331.4879,"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":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511818.770833,"kali_year":5266,"ahargana":1923353.2708,"sun":{"sidereal_longitude":262.3087,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":214.2622,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.9535,"elapsed_within_tithi_degrees":11.9535},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":214.2622,"elapsed_within_degrees":0.9289},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.5709},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.001,"elongation":48.047},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.001,"opposition_distance":131.953}},"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":"17:34","solarNoonLocal":"12:24","dayLengthHours":10.329341042966576,"dayLengthDisplay":"10 Hours 19 Mins 46 Secs","nightLengthDisplay":"13 Hours 40 Mins 14 Secs","moonriseLocal":"03:51","moonsetLocal":"14:19","rahuKala":{"name":"Rāhu Kāla","start":"12:24","end":"13:42","startHours":12.400564838639642,"endHours":13.691732469010464,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:32","end":"09:49","startHours":8.527061947527176,"endHours":9.818229577897998,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:07","end":"12:24","startHours":11.10939720826882,"endHours":12.400564838639642,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"09:59","startHours":9.646073893848556,"endHours":9.990385261947441,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.666283527279962,"endHours":7.941732621759071,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.056253470540756,"endHours":12.744876206738528,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.858648844760811,"endHours":6.547271580958583,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:14","startHours":6.37511589690914,"endHours":7.235894317156355,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.122121679134072,"endHours":14.810744415331843,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.36523536012293,"endHours":17.76523536012293,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:00","startHours":17.56523536012293,"endHours":17.995624570246537,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.31523536012293,"endHours":19.06523536012293,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.056253470540756,"endHours":24.744876206738528,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:14","end":"08:32","startHours":7.235894317156355,"endHours":8.527061947527176,"quality":"auspicious"},{"name":"Amṛta","start":"08:32","end":"09:49","startHours":8.527061947527176,"endHours":9.818229577897998,"quality":"auspicious"},{"name":"Kāla","start":"09:49","end":"11:07","startHours":9.818229577897998,"endHours":11.10939720826882,"quality":"inauspicious"},{"name":"Śubha","start":"11:07","end":"12:24","startHours":11.10939720826882,"endHours":12.400564838639642,"quality":"auspicious"},{"name":"Roga","start":"12:24","end":"13:42","startHours":12.400564838639642,"endHours":13.691732469010464,"quality":"inauspicious"},{"name":"Udveg","start":"13:42","end":"14:59","startHours":13.691732469010464,"endHours":14.982900099381286,"quality":"inauspicious"},{"name":"Chala","start":"14:59","end":"16:16","startHours":14.982900099381286,"endHours":16.274067729752108,"quality":"neutral"},{"name":"Labha","start":"16:16","end":"17:34","startHours":16.274067729752108,"endHours":17.56523536012293,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:34","end":"19:16","startHours":17.56523536012293,"endHours":19.274067729752108,"quality":"inauspicious"},{"name":"Chala","start":"19:16","end":"20:59","startHours":19.274067729752108,"endHours":20.982900099381286,"quality":"neutral"},{"name":"Labha","start":"20:59","end":"22:42","startHours":20.982900099381286,"endHours":22.691732469010464,"quality":"auspicious"},{"name":"Amṛta","start":"22:42","end":"00:24","startHours":22.691732469010464,"endHours":24.400564838639642,"quality":"auspicious"},{"name":"Kāla","start":"00:24","end":"02:07","startHours":24.400564838639642,"endHours":26.10939720826882,"quality":"inauspicious"},{"name":"Śubha","start":"02:07","end":"03:49","startHours":26.10939720826882,"endHours":27.818229577898,"quality":"auspicious"},{"name":"Roga","start":"03:49","end":"05:32","startHours":27.818229577898,"endHours":29.527061947527176,"quality":"inauspicious"},{"name":"Udveg","start":"05:32","end":"07:14","startHours":29.527061947527176,"endHours":31.235894317156355,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.235894317156355,"endHours":8.235894317156355,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.235894317156355,"endHours":9.235894317156355,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.235894317156355,"endHours":10.235894317156355,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.235894317156355,"endHours":11.235894317156355,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.235894317156355,"endHours":12.235894317156355,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.235894317156355,"endHours":13.235894317156355,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.235894317156355,"endHours":14.235894317156355,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.235894317156355,"endHours":15.235894317156355,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.235894317156355,"endHours":16.235894317156355,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.235894317156355,"endHours":17.235894317156355,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.235894317156355,"endHours":18.235894317156355,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.235894317156355,"endHours":19.235894317156355,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.235894317156355,"endHours":20.235894317156355,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.235894317156355,"endHours":21.235894317156355,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.235894317156355,"endHours":22.235894317156355,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.235894317156355,"endHours":23.235894317156355,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.235894317156355,"endHours":24.235894317156355,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.235894317156355,"endHours":25.235894317156355,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.235894317156355,"endHours":26.235894317156355,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.235894317156355,"endHours":27.235894317156355,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.235894317156355,"endHours":28.235894317156355,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.235894317156355,"endHours":29.235894317156355,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.235894317156355,"endHours":30.235894317156355,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.235894317156355,"endHours":31.235894317156355,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"South-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"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":-22.084933905467874,"eotMinutes":-7.10429031837854,"ayanamsa":26.1582}},"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 Ekādaśī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"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":[]},"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 9, 2165 CE · Ṛṣikeśa · Vidhyamitra","description":"January 9, 2165 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 07:14, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2165-01-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2165-01-09","sa":"https://sa.vidhyamitra.com/city/rishikesh/2165-01-09","hi":"https://hi.vidhyamitra.com/city/rishikesh/2165-01-09","x-default":"https://vidhyamitra.com/city/rishikesh/2165-01-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:29:16.815Z","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":"2026-05-31T10:29:16.815Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:29:16.815Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}