{"id":"vidhyamitra:city-day:ujjain:2050-01-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2050-01-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-01-24","date_display":"January 24, 2050 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2050,"month":1,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469830.770833,"kali_year":5151,"ahargana":1881365.2708,"sun":{"sidereal_longitude":279.5126,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":289.8635,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":10.3509,"elapsed_within_tithi_degrees":10.3509},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.8635,"elapsed_within_degrees":9.8635},"yoga":{"number":16,"name":"Siddhi","sum_longitude":209.3761},"karana":{"half_tithi_index":1,"name":"Bava"},"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":2050,"month":1,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469830.770833,"ahargana":1881365.2708,"kali_year":5151,"ayanamsa_lahiri":24.5524,"grahas":{"sun":{"sidereal_longitude":279.6734590000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":291.65875900000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":4.3177},"mars":{"sidereal_longitude":217.04445899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":255.78185899999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":93.49455899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"venus":{"sidereal_longitude":284.990759,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":275.030759,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":216.2142,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":36.2142,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2050,"month":1,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469830.770833,"kali_year":5151,"ahargana":1881365.2708,"sun":{"sidereal_longitude":279.5126,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":289.8635,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":10.3509,"elapsed_within_tithi_degrees":10.3509},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.8635,"elapsed_within_degrees":9.8635},"yoga":{"number":16,"name":"Siddhi","sum_longitude":209.3761},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.318,"elongation":10.351},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.318,"opposition_distance":169.649}},"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":"18:08","solarNoonLocal":"12:39","dayLengthHours":10.986066688190242,"dayLengthDisplay":"10 Hours 59 Mins 10 Secs","nightLengthDisplay":"13 Hours 00 Mins 50 Secs","moonriseLocal":"07:52","moonsetLocal":"19:01","rahuKala":{"name":"Rāhu Kāla","start":"08:32","end":"09:54","startHours":8.52870507170407,"endHours":9.90196340772785,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:17","end":"12:39","startHours":11.27522174375163,"endHours":12.64848007977541,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:01","end":"15:24","startHours":14.021738415799192,"endHours":15.394996751822971,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:43","end":"10:05","startHours":9.718862296258013,"endHours":10.085064519197687,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.613199514354883,"endHours":7.9061612927066225,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:17","end":"13:01","startHours":12.282277856835735,"endHours":13.014682302715086,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:25","startHours":5.690637843921591,"endHours":6.42304228980094,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:09","startHours":6.239941178331103,"endHours":7.1554467356802895,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:13","startHours":14.479491194473784,"endHours":15.211895640353134,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.941513423870532,"endHours":18.34151342387053,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:36","startHours":18.14151342387053,"endHours":18.599266202545124,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.89151342387053,"endHours":19.64151342387053,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:17","end":"01:01","startHours":24.282277856835737,"endHours":25.014682302715084,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:09","end":"08:32","startHours":7.1554467356802895,"endHours":8.52870507170407,"quality":"auspicious"},{"name":"Kāla","start":"08:32","end":"09:54","startHours":8.52870507170407,"endHours":9.90196340772785,"quality":"inauspicious"},{"name":"Śubha","start":"09:54","end":"11:17","startHours":9.90196340772785,"endHours":11.27522174375163,"quality":"auspicious"},{"name":"Roga","start":"11:17","end":"12:39","startHours":11.27522174375163,"endHours":12.64848007977541,"quality":"inauspicious"},{"name":"Udveg","start":"12:39","end":"14:01","startHours":12.64848007977541,"endHours":14.021738415799192,"quality":"inauspicious"},{"name":"Chala","start":"14:01","end":"15:24","startHours":14.021738415799192,"endHours":15.394996751822971,"quality":"neutral"},{"name":"Labha","start":"15:24","end":"16:46","startHours":15.394996751822971,"endHours":16.76825508784675,"quality":"auspicious"},{"name":"Amṛta","start":"16:46","end":"18:08","startHours":16.76825508784675,"endHours":18.14151342387053,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:08","end":"19:46","startHours":18.14151342387053,"endHours":19.76825508784675,"quality":"neutral"},{"name":"Labha","start":"19:46","end":"21:24","startHours":19.76825508784675,"endHours":21.394996751822973,"quality":"auspicious"},{"name":"Amṛta","start":"21:24","end":"23:01","startHours":21.394996751822973,"endHours":23.02173841579919,"quality":"auspicious"},{"name":"Kāla","start":"23:01","end":"00:39","startHours":23.02173841579919,"endHours":24.64848007977541,"quality":"inauspicious"},{"name":"Śubha","start":"00:39","end":"02:17","startHours":24.64848007977541,"endHours":26.27522174375163,"quality":"auspicious"},{"name":"Roga","start":"02:17","end":"03:54","startHours":26.27522174375163,"endHours":27.901963407727848,"quality":"inauspicious"},{"name":"Udveg","start":"03:54","end":"05:32","startHours":27.901963407727848,"endHours":29.52870507170407,"quality":"inauspicious"},{"name":"Chala","start":"05:32","end":"07:09","startHours":29.52870507170407,"endHours":31.15544673568029,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.1554467356802895,"endHours":8.15544673568029,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.15544673568029,"endHours":9.15544673568029,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.15544673568029,"endHours":10.15544673568029,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.15544673568029,"endHours":11.15544673568029,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.15544673568029,"endHours":12.15544673568029,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.15544673568029,"endHours":13.15544673568029,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.15544673568029,"endHours":14.15544673568029,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.15544673568029,"endHours":15.15544673568029,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.15544673568029,"endHours":16.15544673568029,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.15544673568029,"endHours":17.15544673568029,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.15544673568029,"endHours":18.15544673568029,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.15544673568029,"endHours":19.15544673568029,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.15544673568029,"endHours":20.15544673568029,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.15544673568029,"endHours":21.15544673568029,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.15544673568029,"endHours":22.15544673568029,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.15544673568029,"endHours":23.15544673568029,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.15544673568029,"endHours":24.15544673568029,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.15544673568029,"endHours":25.15544673568029,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.15544673568029,"endHours":26.15544673568029,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.15544673568029,"endHours":27.15544673568029,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.15544673568029,"endHours":28.15544673568029,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.15544673568029,"endHours":29.15544673568029,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.15544673568029,"endHours":30.15544673568029,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.15544673568029,"endHours":31.15544673568029,"planetary_lord":"Venus"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.19934564225992,"eotMinutes":-12.062804786524666,"ayanamsa":24.5524}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pratipada · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"magha-gupta-navratri-start","name":"Māgha Gupta Navrātri Start","name_sanskrit":"माघ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Hidden (gupta) Navrātri for advanced sādhanā of 10 Mahāvidyās.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":3}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Māgha Gupta Navrātri Start is not live yet; 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 24, 2050 CE · Ujjain · Vidhyamitra","description":"January 24, 2050 CE for Ujjain: Śukla Pratipada, sūryodaya 07:09, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2050-01-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2050-01-24","sa":"https://sa.vidhyamitra.com/city/ujjain/2050-01-24","hi":"https://hi.vidhyamitra.com/city/ujjain/2050-01-24","x-default":"https://vidhyamitra.com/city/ujjain/2050-01-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T13:21:12.150Z","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":"2026-09-11T13:21:12.150Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T13:21:12.150Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}