{"id":"vidhyamitra:city-day:ujjain:2011-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2011-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-01-04","date_display":"January 4, 2011 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":2011,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455565.770833,"kali_year":5112,"ahargana":1867100.2708,"sun":{"sidereal_longitude":259.0689,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":256.7621,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":357.6932,"elapsed_within_tithi_degrees":9.6932},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":256.7621,"elapsed_within_degrees":3.4288},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.831},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":2011,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455565.770833,"ahargana":1867100.2708,"kali_year":5112,"ayanamsa_lahiri":24.0068,"grahas":{"sun":{"sidereal_longitude":259.304987,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":255.27768700000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":0.3699},"mars":{"sidereal_longitude":266.580687,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":236.85638700000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":333.018287,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":212.30288700000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":172.528687,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":252.0425,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":72.0425,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"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":2011,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455565.770833,"kali_year":5112,"ahargana":1867100.2708,"sun":{"sidereal_longitude":259.0689,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":256.7621,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":357.6932,"elapsed_within_tithi_degrees":9.6932},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":256.7621,"elapsed_within_degrees":3.4288},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.831},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":true,"moon_latitude":0.37,"elongation":2.307},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.37,"opposition_distance":177.693}},"eclipse_window_40days":[{"offset_days":0,"type":"solar","occurs":true,"moon_latitude":0.37,"elongation":2.307}]},"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":"17:54","solarNoonLocal":"12:32","dayLengthHours":10.752633041880856,"dayLengthDisplay":"10 Hours 45 Mins 09 Secs","nightLengthDisplay":"13 Hours 14 Mins 51 Secs","moonriseLocal":"06:55","moonsetLocal":"17:36","rahuKala":{"name":"Rāhu Kāla","start":"15:13","end":"16:34","startHours":15.21932337489265,"endHours":16.563402505127755,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:51","end":"11:11","startHours":9.843006853952222,"endHours":11.187085984187327,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:32","end":"13:53","startHours":12.531165114422436,"endHours":13.87524424465754,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.663796303254207,"endHours":10.022217404650235,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.602874970227043,"endHours":7.889611851343865,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:10","end":"12:53","startHours":12.172744013026406,"endHours":12.889586215818465,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:26","startHours":5.721164187897893,"endHours":6.43800639068995,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:09","startHours":6.258795839991936,"endHours":7.154848593482007,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:02","startHours":14.323270621402578,"endHours":15.040112824194635,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:42","end":"18:06","startHours":17.707481635362864,"endHours":18.107481635362863,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:54","end":"18:21","startHours":17.907481635362863,"endHours":18.355508012107897,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:39","end":"19:24","startHours":17.657481635362863,"endHours":19.407481635362863,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:10","end":"00:53","startHours":24.172744013026406,"endHours":24.889586215818465,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:09","end":"08:30","startHours":7.154848593482007,"endHours":8.498927723717113,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:51","startHours":8.498927723717113,"endHours":9.843006853952222,"quality":"inauspicious"},{"name":"Chala","start":"09:51","end":"11:11","startHours":9.843006853952222,"endHours":11.187085984187327,"quality":"neutral"},{"name":"Labha","start":"11:11","end":"12:32","startHours":11.187085984187327,"endHours":12.531165114422436,"quality":"auspicious"},{"name":"Amṛta","start":"12:32","end":"13:53","startHours":12.531165114422436,"endHours":13.87524424465754,"quality":"auspicious"},{"name":"Kāla","start":"13:53","end":"15:13","startHours":13.87524424465754,"endHours":15.21932337489265,"quality":"inauspicious"},{"name":"Śubha","start":"15:13","end":"16:34","startHours":15.21932337489265,"endHours":16.563402505127755,"quality":"auspicious"},{"name":"Roga","start":"16:34","end":"17:54","startHours":16.563402505127755,"endHours":17.907481635362863,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:54","end":"19:34","startHours":17.907481635362863,"endHours":19.563402505127755,"quality":"inauspicious"},{"name":"Śubha","start":"19:34","end":"21:13","startHours":19.563402505127755,"endHours":21.21932337489265,"quality":"auspicious"},{"name":"Roga","start":"21:13","end":"22:53","startHours":21.21932337489265,"endHours":22.875244244657544,"quality":"inauspicious"},{"name":"Udveg","start":"22:53","end":"00:32","startHours":22.875244244657544,"endHours":24.531165114422436,"quality":"inauspicious"},{"name":"Chala","start":"00:32","end":"02:11","startHours":24.531165114422436,"endHours":26.187085984187327,"quality":"neutral"},{"name":"Labha","start":"02:11","end":"03:51","startHours":26.187085984187327,"endHours":27.84300685395222,"quality":"auspicious"},{"name":"Amṛta","start":"03:51","end":"05:30","startHours":27.84300685395222,"endHours":29.498927723717117,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:09","startHours":29.498927723717117,"endHours":31.154848593482008,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.154848593482007,"endHours":8.154848593482008,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.154848593482008,"endHours":9.154848593482008,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.154848593482008,"endHours":10.154848593482008,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.154848593482008,"endHours":11.154848593482008,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.154848593482008,"endHours":12.154848593482008,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.154848593482008,"endHours":13.154848593482008,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.154848593482008,"endHours":14.154848593482008,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.154848593482008,"endHours":15.154848593482008,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.154848593482008,"endHours":16.154848593482008,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.154848593482008,"endHours":17.154848593482008,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.154848593482008,"endHours":18.154848593482008,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.154848593482008,"endHours":19.154848593482008,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.154848593482008,"endHours":20.154848593482008,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.154848593482008,"endHours":21.154848593482008,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.154848593482008,"endHours":22.154848593482008,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.154848593482008,"endHours":23.154848593482008,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.154848593482008,"endHours":24.154848593482008,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.154848593482008,"endHours":25.154848593482008,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.154848593482008,"endHours":26.154848593482008,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.154848593482008,"endHours":27.154848593482008,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.154848593482008,"endHours":28.154848593482008,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.154848593482008,"endHours":29.154848593482008,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.154848593482008,"endHours":30.154848593482008,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.154848593482008,"endHours":31.154848593482008,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Dhātṛ","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":-22.770817117227057,"eotMinutes":-5.02390686534617,"ayanamsa":24.0068}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"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 Amāvasyā · Vikram 2068 Krodhi · Śaka 1933 Khara"},"festivals":[],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5}]},"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 4, 2011 CE · Ujjain · Vidhyamitra","description":"January 4, 2011 CE for Ujjain: Kṛṣṇa Amāvasyā, sūryodaya 07:09, sūryāsta 17:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2011-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2011-01-04","sa":"https://sa.vidhyamitra.com/city/ujjain/2011-01-04","hi":"https://hi.vidhyamitra.com/city/ujjain/2011-01-04","x-default":"https://vidhyamitra.com/city/ujjain/2011-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:51:57.484Z","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":"2026-05-31T22:51:57.484Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:51:57.484Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}