{"id":"vidhyamitra:city-day:indore:2045-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/indore/2045-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-04","date_display":"January 4, 2045 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":2045,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467984.770833,"kali_year":5146,"ahargana":1879519.2708,"sun":{"sidereal_longitude":259.2768,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":86.569,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.2921,"elapsed_within_tithi_degrees":7.2921},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":86.569,"elapsed_within_degrees":6.569},"yoga":{"number":26,"name":"Indra","sum_longitude":345.8458},"karana":{"half_tithi_index":31,"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":2045,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467984.770833,"ahargana":1879519.2708,"kali_year":5146,"ayanamsa_lahiri":24.4818,"grahas":{"sun":{"sidereal_longitude":259.59109,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":88.25988999999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":3.3138},"mars":{"sidereal_longitude":285.84389,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":241.12859000000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":286.76419,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":241.11409000000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":222.03548999999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":314.0242,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.0242,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"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":2045,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467984.770833,"kali_year":5146,"ahargana":1879519.2708,"sun":{"sidereal_longitude":259.2768,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":86.569,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.2921,"elapsed_within_tithi_degrees":7.2921},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":86.569,"elapsed_within_degrees":6.569},"yoga":{"number":26,"name":"Indra","sum_longitude":345.8458},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.314,"elongation":172.708},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.314,"opposition_distance":7.292}},"eclipse_window_40days":[]},"city":{"slug":"indore","name":"Indore, Madhya Pradesh","lat":22.7196,"lon":75.8577,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"indore","name":"Indore, Madhya Pradesh","lat":22.7196,"lon":75.8577,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:08","sunsetLocal":"17:55","solarNoonLocal":"12:32","dayLengthHours":10.787827338467793,"dayLengthDisplay":"10 Hours 47 Mins 16 Secs","nightLengthDisplay":"13 Hours 12 Mins 44 Secs","moonriseLocal":"18:25","moonsetLocal":"07:47","rahuKala":{"name":"Rāhu Kāla","start":"12:32","end":"13:53","startHours":12.526551781089104,"endHours":13.875030198397578,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:29","end":"09:50","startHours":8.481116529163682,"endHours":9.829594946472156,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:11","end":"12:32","startHours":11.17807336378063,"endHours":12.526551781089104,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.64979782416436,"endHours":10.009392068779952,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.582130917624699,"endHours":7.869806313317174,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:10","end":"12:53","startHours":12.166957536473511,"endHours":12.886146025704697,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:25","startHours":5.6942611333928355,"endHours":6.413449622624022,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:08","startHours":6.233652500316225,"endHours":7.132638111855208,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:03","startHours":14.32452300416707,"endHours":15.043711493398256,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:43","end":"18:07","startHours":17.720465450323,"endHours":18.120465450323,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:55","end":"18:22","startHours":17.920465450323,"endHours":18.36995825609249,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:40","end":"19:25","startHours":17.670465450323,"endHours":19.420465450323,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:10","end":"00:53","startHours":24.16695753647351,"endHours":24.886146025704697,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:08","end":"08:29","startHours":7.132638111855208,"endHours":8.481116529163682,"quality":"auspicious"},{"name":"Amṛta","start":"08:29","end":"09:50","startHours":8.481116529163682,"endHours":9.829594946472156,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:11","startHours":9.829594946472156,"endHours":11.17807336378063,"quality":"inauspicious"},{"name":"Śubha","start":"11:11","end":"12:32","startHours":11.17807336378063,"endHours":12.526551781089104,"quality":"auspicious"},{"name":"Roga","start":"12:32","end":"13:53","startHours":12.526551781089104,"endHours":13.875030198397578,"quality":"inauspicious"},{"name":"Udveg","start":"13:53","end":"15:13","startHours":13.875030198397578,"endHours":15.223508615706052,"quality":"inauspicious"},{"name":"Chala","start":"15:13","end":"16:34","startHours":15.223508615706052,"endHours":16.571987033014526,"quality":"neutral"},{"name":"Labha","start":"16:34","end":"17:55","startHours":16.571987033014526,"endHours":17.920465450323,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:55","end":"19:34","startHours":17.920465450323,"endHours":19.571987033014526,"quality":"inauspicious"},{"name":"Chala","start":"19:34","end":"21:13","startHours":19.571987033014526,"endHours":21.223508615706052,"quality":"neutral"},{"name":"Labha","start":"21:13","end":"22:53","startHours":21.223508615706052,"endHours":22.875030198397578,"quality":"auspicious"},{"name":"Amṛta","start":"22:53","end":"00:32","startHours":22.875030198397578,"endHours":24.526551781089104,"quality":"auspicious"},{"name":"Kāla","start":"00:32","end":"02:11","startHours":24.526551781089104,"endHours":26.17807336378063,"quality":"inauspicious"},{"name":"Śubha","start":"02:11","end":"03:50","startHours":26.17807336378063,"endHours":27.829594946472156,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:29","startHours":27.829594946472156,"endHours":29.481116529163682,"quality":"inauspicious"},{"name":"Udveg","start":"05:29","end":"07:08","startHours":29.481116529163682,"endHours":31.132638111855208,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.132638111855208,"endHours":8.132638111855208,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.132638111855208,"endHours":9.132638111855208,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.132638111855208,"endHours":10.132638111855208,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.132638111855208,"endHours":11.132638111855208,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.132638111855208,"endHours":12.132638111855208,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.132638111855208,"endHours":13.132638111855208,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.132638111855208,"endHours":14.132638111855208,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.132638111855208,"endHours":15.132638111855208,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.132638111855208,"endHours":16.132638111855208,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.132638111855208,"endHours":17.132638111855208,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.132638111855208,"endHours":18.132638111855208,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.132638111855208,"endHours":19.132638111855208,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.132638111855208,"endHours":20.132638111855208,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.132638111855208,"endHours":21.132638111855208,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.132638111855208,"endHours":22.132638111855208,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.132638111855208,"endHours":23.132638111855208,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.132638111855208,"endHours":24.132638111855208,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.132638111855208,"endHours":25.132638111855208,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.132638111855208,"endHours":26.132638111855208,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.132638111855208,"endHours":27.132638111855208,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.132638111855208,"endHours":28.132638111855208,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.132638111855208,"endHours":29.132638111855208,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.132638111855208,"endHours":30.132638111855208,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.132638111855208,"endHours":31.132638111855208,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Siddhi","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":-22.6931277080788,"eotMinutes":-5.02390686534617,"ayanamsa":24.4818}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","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":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pratipada · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"indore"},"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, 2045 CE · Indore, Madhya Pradesh · Vidhyamitra","description":"January 4, 2045 CE for Indore, Madhya Pradesh: Kṛṣṇa Pratipada, sūryodaya 07:08, sūryāsta 17:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/indore/2045-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/indore/2045-01-04","sa":"https://sa.vidhyamitra.com/city/indore/2045-01-04","hi":"https://hi.vidhyamitra.com/city/indore/2045-01-04","x-default":"https://vidhyamitra.com/city/indore/2045-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T21:02:23.839Z","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":"2026-06-01T21:02:23.839Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T21:02:23.839Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}