{"id":"vidhyamitra:city-day:ujjain:2176-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2176-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2176-01-01","date_display":"January 1, 2176 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":2176,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515827.770833,"kali_year":5277,"ahargana":1927362.2708,"sun":{"sidereal_longitude":253.214,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":129.6699,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.4559,"elapsed_within_tithi_degrees":8.4559},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.6699,"elapsed_within_degrees":9.6699},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.8839},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2176,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515827.770833,"ahargana":1927362.2708,"kali_year":5277,"ayanamsa_lahiri":26.3116,"grahas":{"sun":{"sidereal_longitude":253.88953600000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":130.76793600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":-0.8268},"mars":{"sidereal_longitude":197.50433599999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":229.02633600000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":297.32963599999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":224.13263600000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":5.487535999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":299.0718,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.0718,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2176,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515827.770833,"kali_year":5277,"ahargana":1927362.2708,"sun":{"sidereal_longitude":253.214,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":129.6699,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.4559,"elapsed_within_tithi_degrees":8.4559},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.6699,"elapsed_within_degrees":9.6699},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.8839},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.827,"elongation":123.544},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.827,"opposition_distance":56.456}},"eclipse_window_40days":[]},"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:09","sunsetLocal":"17:53","solarNoonLocal":"12:31","dayLengthHours":10.734240734775687,"dayLengthDisplay":"10 Hours 44 Mins 03 Secs","nightLengthDisplay":"13 Hours 15 Mins 57 Secs","moonriseLocal":"22:00","moonsetLocal":"10:36","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"09:50","startHours":8.483846029849053,"endHours":9.825626121696015,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:10","end":"12:31","startHours":11.167406213542975,"endHours":12.509186305389935,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:51","end":"15:12","startHours":13.850966397236897,"endHours":15.192746489083857,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.646722109449753,"endHours":10.004530133942275,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:53","startHours":7.5893259686177466,"endHours":7.875572388211765,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.151378280897413,"endHours":12.866994329882457,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:26","startHours":5.7108338400320005,"endHours":6.4264498890170465,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:09","startHours":6.247545876770785,"endHours":7.1420659380020926,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:01","startHours":14.298226427852551,"endHours":15.013842476837597,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:41","end":"18:05","startHours":17.67630667277778,"endHours":18.07630667277778,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:53","end":"18:19","startHours":17.87630667277778,"endHours":18.323566703393432,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:38","end":"19:23","startHours":17.62630667277778,"endHours":19.37630667277778,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.15137828089741,"endHours":24.86699432988246,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:09","end":"08:29","startHours":7.1420659380020926,"endHours":8.483846029849053,"quality":"auspicious"},{"name":"Kāla","start":"08:29","end":"09:50","startHours":8.483846029849053,"endHours":9.825626121696015,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:10","startHours":9.825626121696015,"endHours":11.167406213542975,"quality":"auspicious"},{"name":"Roga","start":"11:10","end":"12:31","startHours":11.167406213542975,"endHours":12.509186305389935,"quality":"inauspicious"},{"name":"Udveg","start":"12:31","end":"13:51","startHours":12.509186305389935,"endHours":13.850966397236897,"quality":"inauspicious"},{"name":"Chala","start":"13:51","end":"15:12","startHours":13.850966397236897,"endHours":15.192746489083857,"quality":"neutral"},{"name":"Labha","start":"15:12","end":"16:32","startHours":15.192746489083857,"endHours":16.53452658093082,"quality":"auspicious"},{"name":"Amṛta","start":"16:32","end":"17:53","startHours":16.53452658093082,"endHours":17.87630667277778,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:53","end":"19:32","startHours":17.87630667277778,"endHours":19.53452658093082,"quality":"neutral"},{"name":"Labha","start":"19:32","end":"21:12","startHours":19.53452658093082,"endHours":21.19274648908386,"quality":"auspicious"},{"name":"Amṛta","start":"21:12","end":"22:51","startHours":21.19274648908386,"endHours":22.850966397236895,"quality":"auspicious"},{"name":"Kāla","start":"22:51","end":"00:31","startHours":22.850966397236895,"endHours":24.509186305389935,"quality":"inauspicious"},{"name":"Śubha","start":"00:31","end":"02:10","startHours":24.509186305389935,"endHours":26.167406213542975,"quality":"auspicious"},{"name":"Roga","start":"02:10","end":"03:50","startHours":26.167406213542975,"endHours":27.825626121696015,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:29","startHours":27.825626121696015,"endHours":29.483846029849055,"quality":"inauspicious"},{"name":"Chala","start":"05:29","end":"07:09","startHours":29.483846029849055,"endHours":31.14206593800209,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.1420659380020926,"endHours":8.142065938002093,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.142065938002093,"endHours":9.142065938002093,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.142065938002093,"endHours":10.142065938002093,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.142065938002093,"endHours":11.142065938002093,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.142065938002093,"endHours":12.142065938002093,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.142065938002093,"endHours":13.142065938002093,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.142065938002093,"endHours":14.142065938002093,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.142065938002093,"endHours":15.142065938002093,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.142065938002093,"endHours":16.14206593800209,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.14206593800209,"endHours":17.14206593800209,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.14206593800209,"endHours":18.14206593800209,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.14206593800209,"endHours":19.14206593800209,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.14206593800209,"endHours":20.14206593800209,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.14206593800209,"endHours":21.14206593800209,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.14206593800209,"endHours":22.14206593800209,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.14206593800209,"endHours":23.14206593800209,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.14206593800209,"endHours":24.14206593800209,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.14206593800209,"endHours":25.14206593800209,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.14206593800209,"endHours":26.14206593800209,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.14206593800209,"endHours":27.14206593800209,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.14206593800209,"endHours":28.14206593800209,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.14206593800209,"endHours":29.14206593800209,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.14206593800209,"endHours":30.14206593800209,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.14206593800209,"endHours":31.14206593800209,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","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":-23.044450463796256,"eotMinutes":-3.705178323396069,"ayanamsa":26.3116}},"calendars":{"vikram_samvat":2233,"vikram_samvatsara":"Virodhi","saka_samvat":2098,"saka_samvatsara":"Dhātṛ","bengali_samvat":1583,"malayalam_era":1352,"nanakshahi_year":707,"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 Pañcamī · Vikram 2233 Virodhi · Śaka 2098 Dhātṛ"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ujjain"},"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, 2176 CE · Ujjain · Vidhyamitra","description":"January 1, 2176 CE for Ujjain: Kṛṣṇa Pañcamī, sūryodaya 07:09, sūryāsta 17:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2176-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2176-01-01","sa":"https://sa.vidhyamitra.com/city/ujjain/2176-01-01","hi":"https://hi.vidhyamitra.com/city/ujjain/2176-01-01","x-default":"https://vidhyamitra.com/city/ujjain/2176-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:21:13.381Z","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":"2026-05-31T21:21:13.381Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:21:13.381Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}