{"id":"vidhyamitra:city-day:cuttack:2121-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/cuttack/2121-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-01-01","date_display":"January 1, 2121 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":2121,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495739.770833,"kali_year":5222,"ahargana":1907274.2708,"sun":{"sidereal_longitude":254.4802,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":42.3736,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.8935,"elapsed_within_tithi_degrees":3.8935},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":42.3736,"elapsed_within_degrees":2.3736},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.8538},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":2121,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495739.770833,"ahargana":1907274.2708,"kali_year":5222,"ayanamsa_lahiri":25.5433,"grahas":{"sun":{"sidereal_longitude":255.01534500000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":43.11544500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":3.937},"mars":{"sidereal_longitude":123.238045,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":272.83144500000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":89.39584500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"venus":{"sidereal_longitude":299.15334499999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":62.97214500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":283.4307,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":103.4307,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2121,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495739.770833,"kali_year":5222,"ahargana":1907274.2708,"sun":{"sidereal_longitude":254.4802,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":42.3736,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.8935,"elapsed_within_tithi_degrees":3.8935},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":42.3736,"elapsed_within_degrees":2.3736},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.8538},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.937,"elongation":147.893},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.937,"opposition_distance":32.107}},"eclipse_window_40days":[{"offset_days":18,"type":"solar","occurs":true,"moon_latitude":-0.923,"elongation":2.346}]},"city":{"slug":"cuttack","name":"Cuttack, Odisha","lat":20.4625,"lon":85.8828,"tz_offset_hours":5.5,"state":"Odisha","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"cuttack","name":"Cuttack, Odisha","lat":20.4625,"lon":85.8828,"tz_offset_hours":5.5,"state":"Odisha","country":"IN","tier":"tier-1"},"sunriseLocal":"06:23","sunsetLocal":"17:18","solarNoonLocal":"11:50","dayLengthHours":10.914172442217712,"dayLengthDisplay":"10 Hours 54 Mins 51 Secs","nightLengthDisplay":"13 Hours 05 Mins 09 Secs","moonriseLocal":"15:06","moonsetLocal":"04:20","rahuKala":{"name":"Rāhu Kāla","start":"11:50","end":"13:12","startHours":11.8362329720566,"endHours":13.200504527333813,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:45","end":"09:06","startHours":7.7434183062249575,"endHours":9.107689861502172,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:28","end":"11:50","startHours":10.471961416779386,"endHours":11.8362329720566,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:17","startHours":8.925786987465209,"endHours":9.289592735539134,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:07","startHours":6.833903936040148,"endHours":7.124948534499287,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:12","startHours":11.472427223982676,"endHours":12.200038720130523,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:55","end":"05:39","startHours":4.923923758652048,"endHours":5.651535254799896,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:28","end":"06:23","startHours":5.469632380762934,"endHours":6.3791467509477435,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:39","end":"14:23","startHours":13.655261712426219,"endHours":14.382873208574066,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.093319193165456,"endHours":17.493319193165455,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:45","startHours":17.293319193165456,"endHours":17.74807637825786,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.043319193165456,"endHours":18.793319193165456,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:12","startHours":23.472427223982677,"endHours":24.20003872013052,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:23","end":"07:45","startHours":6.3791467509477435,"endHours":7.7434183062249575,"quality":"auspicious"},{"name":"Amṛta","start":"07:45","end":"09:06","startHours":7.7434183062249575,"endHours":9.107689861502172,"quality":"auspicious"},{"name":"Kāla","start":"09:06","end":"10:28","startHours":9.107689861502172,"endHours":10.471961416779386,"quality":"inauspicious"},{"name":"Śubha","start":"10:28","end":"11:50","startHours":10.471961416779386,"endHours":11.8362329720566,"quality":"auspicious"},{"name":"Roga","start":"11:50","end":"13:12","startHours":11.8362329720566,"endHours":13.200504527333813,"quality":"inauspicious"},{"name":"Udveg","start":"13:12","end":"14:34","startHours":13.200504527333813,"endHours":14.564776082611028,"quality":"inauspicious"},{"name":"Chala","start":"14:34","end":"15:56","startHours":14.564776082611028,"endHours":15.929047637888242,"quality":"neutral"},{"name":"Labha","start":"15:56","end":"17:18","startHours":15.929047637888242,"endHours":17.293319193165456,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:18","end":"18:56","startHours":17.293319193165456,"endHours":18.929047637888242,"quality":"inauspicious"},{"name":"Chala","start":"18:56","end":"20:34","startHours":18.929047637888242,"endHours":20.564776082611026,"quality":"neutral"},{"name":"Labha","start":"20:34","end":"22:12","startHours":20.564776082611026,"endHours":22.200504527333813,"quality":"auspicious"},{"name":"Amṛta","start":"22:12","end":"23:50","startHours":22.200504527333813,"endHours":23.8362329720566,"quality":"auspicious"},{"name":"Kāla","start":"23:50","end":"01:28","startHours":23.8362329720566,"endHours":25.471961416779386,"quality":"inauspicious"},{"name":"Śubha","start":"01:28","end":"03:06","startHours":25.471961416779386,"endHours":27.107689861502173,"quality":"auspicious"},{"name":"Roga","start":"03:06","end":"04:45","startHours":27.107689861502173,"endHours":28.743418306224957,"quality":"inauspicious"},{"name":"Udveg","start":"04:45","end":"06:23","startHours":28.743418306224957,"endHours":30.379146750947744,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:23","end":"07:23","startHours":6.3791467509477435,"endHours":7.3791467509477435,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:23","end":"08:23","startHours":7.3791467509477435,"endHours":8.379146750947744,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:23","end":"09:23","startHours":8.379146750947744,"endHours":9.379146750947744,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:23","end":"10:23","startHours":9.379146750947744,"endHours":10.379146750947744,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:23","end":"11:23","startHours":10.379146750947744,"endHours":11.379146750947744,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:23","end":"12:23","startHours":11.379146750947744,"endHours":12.379146750947744,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:23","end":"13:23","startHours":12.379146750947744,"endHours":13.379146750947744,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:23","end":"14:23","startHours":13.379146750947744,"endHours":14.379146750947744,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:23","end":"15:23","startHours":14.379146750947744,"endHours":15.379146750947744,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:23","end":"16:23","startHours":15.379146750947744,"endHours":16.379146750947744,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:23","end":"17:23","startHours":16.379146750947744,"endHours":17.379146750947744,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:23","end":"18:23","startHours":17.379146750947744,"endHours":18.379146750947744,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:23","end":"19:23","startHours":18.379146750947744,"endHours":19.379146750947744,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:23","end":"20:23","startHours":19.379146750947744,"endHours":20.379146750947744,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:23","end":"21:23","startHours":20.379146750947744,"endHours":21.379146750947744,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:23","end":"22:23","startHours":21.379146750947744,"endHours":22.379146750947744,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:23","end":"23:23","startHours":22.379146750947744,"endHours":23.379146750947744,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:23","end":"00:23","startHours":23.379146750947744,"endHours":24.379146750947744,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:23","end":"01:23","startHours":24.379146750947744,"endHours":25.379146750947744,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:23","end":"02:23","startHours":25.379146750947744,"endHours":26.379146750947744,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:23","end":"03:23","startHours":26.379146750947744,"endHours":27.379146750947744,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:23","end":"04:23","startHours":27.379146750947744,"endHours":28.379146750947744,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:23","end":"05:23","startHours":28.379146750947744,"endHours":29.379146750947744,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:23","end":"06:23","startHours":29.379146750947744,"endHours":30.379146750947744,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","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":-23.016612242978752,"eotMinutes":-3.705178323396069,"ayanamsa":25.5433}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Trayodaśī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"cuttack"},"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, 2121 CE · Cuttack, Odisha · Vidhyamitra","description":"January 1, 2121 CE for Cuttack, Odisha: Śukla Trayodaśī, sūryodaya 06:23, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/cuttack/2121-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/cuttack/2121-01-01","sa":"https://sa.vidhyamitra.com/city/cuttack/2121-01-01","hi":"https://hi.vidhyamitra.com/city/cuttack/2121-01-01","x-default":"https://vidhyamitra.com/city/cuttack/2121-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T06:36:28.338Z","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":"2026-06-01T06:36:28.338Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T06:36:28.338Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}