{"id":"vidhyamitra:city-day:ujjain:2103-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2103-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-01-07","date_display":"January 7, 2103 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":2103,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489170.770833,"kali_year":5204,"ahargana":1900705.2708,"sun":{"sidereal_longitude":260.2968,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":236.7265,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":336.4296,"elapsed_within_tithi_degrees":0.4296},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":236.7265,"elapsed_within_degrees":10.0598},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.0233},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2103,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489170.770833,"ahargana":1900705.2708,"kali_year":5204,"ayanamsa_lahiri":25.292,"grahas":{"sun":{"sidereal_longitude":260.73812899999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":237.10182899999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false,"latitude":-2.5639},"mars":{"sidereal_longitude":245.93732899999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":236.73012900000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":252.08052900000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":283.523729,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":212.38892899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":271.4879,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":91.4879,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":2103,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489170.770833,"kali_year":5204,"ahargana":1900705.2708,"sun":{"sidereal_longitude":260.2968,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":236.7265,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":336.4296,"elapsed_within_tithi_degrees":0.4296},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":236.7265,"elapsed_within_degrees":10.0598},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.0233},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.564,"elongation":23.57},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.564,"opposition_distance":156.43}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":-0.501,"elongation":2.631},{"offset_days":16,"type":"lunar","occurs":true,"moon_latitude":-0.361,"opposition_distance":1.481}]},"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":"07:10","sunsetLocal":"17:56","solarNoonLocal":"12:33","dayLengthHours":10.772482752099572,"dayLengthDisplay":"10 Hours 46 Mins 21 Secs","nightLengthDisplay":"13 Hours 13 Mins 39 Secs","moonriseLocal":"05:38","moonsetLocal":"16:19","rahuKala":{"name":"Rāhu Kāla","start":"16:36","end":"17:56","startHours":16.591982270494334,"endHours":17.93854261450678,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:33","end":"13:54","startHours":12.552301238456995,"endHours":13.89886158246944,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:15","end":"16:36","startHours":15.245421926481887,"endHours":16.591982270494334,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:41","end":"10:02","startHours":9.679639171230441,"endHours":10.038721929633759,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.614913310411357,"endHours":7.902179517134012,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:12","end":"12:55","startHours":12.193218480053675,"endHours":12.911383996860314,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:27","startHours":5.729728828793931,"endHours":6.447894345600569,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:10","startHours":6.2683529663989095,"endHours":7.166059862407208,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:04","startHours":14.347715030473589,"endHours":15.065880547280226,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:44","end":"18:08","startHours":17.73854261450678,"endHours":18.13854261450678,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:56","end":"18:23","startHours":17.93854261450678,"endHours":18.387396062510927,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:41","end":"19:26","startHours":17.68854261450678,"endHours":19.43854261450678,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:12","end":"00:55","startHours":24.193218480053677,"endHours":24.911383996860312,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:10","end":"08:31","startHours":7.166059862407208,"endHours":8.512620206419655,"quality":"inauspicious"},{"name":"Chala","start":"08:31","end":"09:52","startHours":8.512620206419655,"endHours":9.8591805504321,"quality":"neutral"},{"name":"Labha","start":"09:52","end":"11:12","startHours":9.8591805504321,"endHours":11.205740894444547,"quality":"auspicious"},{"name":"Amṛta","start":"11:12","end":"12:33","startHours":11.205740894444547,"endHours":12.552301238456995,"quality":"auspicious"},{"name":"Kāla","start":"12:33","end":"13:54","startHours":12.552301238456995,"endHours":13.89886158246944,"quality":"inauspicious"},{"name":"Śubha","start":"13:54","end":"15:15","startHours":13.89886158246944,"endHours":15.245421926481887,"quality":"auspicious"},{"name":"Roga","start":"15:15","end":"16:36","startHours":15.245421926481887,"endHours":16.591982270494334,"quality":"inauspicious"},{"name":"Udveg","start":"16:36","end":"17:56","startHours":16.591982270494334,"endHours":17.93854261450678,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:56","end":"19:36","startHours":17.93854261450678,"endHours":19.591982270494334,"quality":"auspicious"},{"name":"Roga","start":"19:36","end":"21:15","startHours":19.591982270494334,"endHours":21.245421926481885,"quality":"inauspicious"},{"name":"Udveg","start":"21:15","end":"22:54","startHours":21.245421926481885,"endHours":22.89886158246944,"quality":"inauspicious"},{"name":"Chala","start":"22:54","end":"00:33","startHours":22.89886158246944,"endHours":24.552301238456995,"quality":"neutral"},{"name":"Labha","start":"00:33","end":"02:12","startHours":24.552301238456995,"endHours":26.205740894444546,"quality":"auspicious"},{"name":"Amṛta","start":"02:12","end":"03:52","startHours":26.205740894444546,"endHours":27.8591805504321,"quality":"auspicious"},{"name":"Kāla","start":"03:52","end":"05:31","startHours":27.8591805504321,"endHours":29.512620206419655,"quality":"inauspicious"},{"name":"Śubha","start":"05:31","end":"07:10","startHours":29.512620206419655,"endHours":31.16605986240721,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.166059862407208,"endHours":8.166059862407208,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.166059862407208,"endHours":9.166059862407208,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.166059862407208,"endHours":10.166059862407208,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.166059862407208,"endHours":11.166059862407208,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.166059862407208,"endHours":12.166059862407208,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.166059862407208,"endHours":13.166059862407208,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.166059862407208,"endHours":14.166059862407208,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.166059862407208,"endHours":15.166059862407208,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.166059862407208,"endHours":16.16605986240721,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.16605986240721,"endHours":17.16605986240721,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.16605986240721,"endHours":18.16605986240721,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.16605986240721,"endHours":19.16605986240721,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.16605986240721,"endHours":20.16605986240721,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.16605986240721,"endHours":21.16605986240721,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.16605986240721,"endHours":22.16605986240721,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.16605986240721,"endHours":23.16605986240721,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.16605986240721,"endHours":24.16605986240721,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.16605986240721,"endHours":25.16605986240721,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.16605986240721,"endHours":26.16605986240721,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.16605986240721,"endHours":27.16605986240721,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.16605986240721,"endHours":28.16605986240721,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.16605986240721,"endHours":29.16605986240721,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.16605986240721,"endHours":30.16605986240721,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.16605986240721,"endHours":31.16605986240721,"planetary_lord":"Jupiter"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","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":-22.47419399010766,"eotMinutes":-6.292074307419696,"ayanamsa":25.292}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"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 Caturdaśī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","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 7, 2103 CE · Ujjain · Vidhyamitra","description":"January 7, 2103 CE for Ujjain: Kṛṣṇa Caturdaśī, sūryodaya 07:10, sūryāsta 17:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2103-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2103-01-07","sa":"https://sa.vidhyamitra.com/city/ujjain/2103-01-07","hi":"https://hi.vidhyamitra.com/city/ujjain/2103-01-07","x-default":"https://vidhyamitra.com/city/ujjain/2103-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T07:39:21.068Z","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":"2026-06-02T07:39:21.068Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T07:39:21.068Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}