{"id":"vidhyamitra:city-day:ujjain:2029-04-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2029-04-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2029-04-21","date_display":"April 21, 2029 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":2029,"month":4,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462247.770833,"kali_year":5131,"ahargana":1873782.2708,"sun":{"sidereal_longitude":7.0072,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":91.2363,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":84.2291,"elapsed_within_tithi_degrees":0.2291},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":91.2363,"elapsed_within_degrees":11.2363},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.2435},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2029,"month":4,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462247.770833,"ahargana":1873782.2708,"kali_year":5131,"ayanamsa_lahiri":24.2623,"grahas":{"sun":{"sidereal_longitude":6.968586000000016,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":87.46578599999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":-1.0295},"mars":{"sidereal_longitude":151.60008600000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":26.586685999999986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":177.139586,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":13.794186000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":18.47268600000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":257.998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":77.998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":"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":2029,"month":4,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462247.770833,"kali_year":5131,"ahargana":1873782.2708,"sun":{"sidereal_longitude":7.0072,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":91.2363,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":84.2291,"elapsed_within_tithi_degrees":0.2291},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":91.2363,"elapsed_within_degrees":11.2363},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.2435},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.03,"elongation":84.229},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.03,"opposition_distance":95.771}},"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":"06:01","sunsetLocal":"18:50","solarNoonLocal":"12:26","dayLengthHours":12.814275865995944,"dayLengthDisplay":"12 Hours 48 Mins 51 Secs","nightLengthDisplay":"11 Hours 11 Mins 09 Secs","moonriseLocal":"11:06","moonsetLocal":"00:30","rahuKala":{"name":"Rāhu Kāla","start":"09:13","end":"10:50","startHours":9.224075552814977,"endHours":10.82586003606447,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:02","end":"15:38","startHours":14.029429002563456,"endHours":15.631213485812948,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:01","end":"07:37","startHours":6.020506586315991,"endHours":7.622291069565484,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:26","startHours":9.01050428838171,"endHours":9.437646817248243,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:54","startHours":6.554434747399155,"endHours":6.896148770492379,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:51","startHours":12.000501990447432,"endHours":12.854787048180494,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:19","end":"05:10","startHours":4.311936470849865,"endHours":5.166221528582928,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"06:01","startHours":4.952650264149662,"endHours":6.020506586315991,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:25","startHours":14.56335716364662,"endHours":15.417642221379683,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:38","end":"19:02","startHours":18.634782452311935,"endHours":19.034782452311934,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:50","end":"19:22","startHours":18.834782452311934,"endHours":19.3687106133951,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:35","end":"20:20","startHours":18.584782452311934,"endHours":20.334782452311934,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:51","startHours":24.000501990447432,"endHours":24.854787048180498,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:01","end":"07:37","startHours":6.020506586315991,"endHours":7.622291069565484,"quality":"inauspicious"},{"name":"Śubha","start":"07:37","end":"09:13","startHours":7.622291069565484,"endHours":9.224075552814977,"quality":"auspicious"},{"name":"Roga","start":"09:13","end":"10:50","startHours":9.224075552814977,"endHours":10.82586003606447,"quality":"inauspicious"},{"name":"Udveg","start":"10:50","end":"12:26","startHours":10.82586003606447,"endHours":12.427644519313962,"quality":"inauspicious"},{"name":"Chala","start":"12:26","end":"14:02","startHours":12.427644519313962,"endHours":14.029429002563456,"quality":"neutral"},{"name":"Labha","start":"14:02","end":"15:38","startHours":14.029429002563456,"endHours":15.631213485812948,"quality":"auspicious"},{"name":"Amṛta","start":"15:38","end":"17:14","startHours":15.631213485812948,"endHours":17.232997969062442,"quality":"auspicious"},{"name":"Kāla","start":"17:14","end":"18:50","startHours":17.232997969062442,"endHours":18.834782452311934,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:50","end":"20:14","startHours":18.834782452311934,"endHours":20.232997969062442,"quality":"auspicious"},{"name":"Amṛta","start":"20:14","end":"21:38","startHours":20.232997969062442,"endHours":21.63121348581295,"quality":"auspicious"},{"name":"Kāla","start":"21:38","end":"23:02","startHours":21.63121348581295,"endHours":23.029429002563454,"quality":"inauspicious"},{"name":"Śubha","start":"23:02","end":"00:26","startHours":23.029429002563454,"endHours":24.42764451931396,"quality":"auspicious"},{"name":"Roga","start":"00:26","end":"01:50","startHours":24.42764451931396,"endHours":25.82586003606447,"quality":"inauspicious"},{"name":"Udveg","start":"01:50","end":"03:13","startHours":25.82586003606447,"endHours":27.224075552814977,"quality":"inauspicious"},{"name":"Chala","start":"03:13","end":"04:37","startHours":27.224075552814977,"endHours":28.622291069565485,"quality":"neutral"},{"name":"Labha","start":"04:37","end":"06:01","startHours":28.622291069565485,"endHours":30.02050658631599,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:01","end":"07:01","startHours":6.020506586315991,"endHours":7.020506586315991,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:01","end":"08:01","startHours":7.020506586315991,"endHours":8.02050658631599,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:01","end":"09:01","startHours":8.02050658631599,"endHours":9.02050658631599,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:01","end":"10:01","startHours":9.02050658631599,"endHours":10.02050658631599,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:01","end":"11:01","startHours":10.02050658631599,"endHours":11.02050658631599,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:01","end":"12:01","startHours":11.02050658631599,"endHours":12.02050658631599,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:01","end":"13:01","startHours":12.02050658631599,"endHours":13.02050658631599,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:01","end":"14:01","startHours":13.02050658631599,"endHours":14.02050658631599,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:01","end":"15:01","startHours":14.02050658631599,"endHours":15.02050658631599,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:01","end":"16:01","startHours":15.02050658631599,"endHours":16.02050658631599,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:01","end":"17:01","startHours":16.02050658631599,"endHours":17.02050658631599,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:01","end":"18:01","startHours":17.02050658631599,"endHours":18.02050658631599,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:01","end":"19:01","startHours":18.02050658631599,"endHours":19.02050658631599,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:01","end":"20:01","startHours":19.02050658631599,"endHours":20.02050658631599,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:01","end":"21:01","startHours":20.02050658631599,"endHours":21.02050658631599,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:01","end":"22:01","startHours":21.02050658631599,"endHours":22.02050658631599,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:01","end":"23:01","startHours":22.02050658631599,"endHours":23.02050658631599,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:01","end":"00:01","startHours":23.02050658631599,"endHours":24.02050658631599,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:01","end":"01:01","startHours":24.02050658631599,"endHours":25.02050658631599,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:01","end":"02:01","startHours":25.02050658631599,"endHours":26.02050658631599,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:01","end":"03:01","startHours":26.02050658631599,"endHours":27.02050658631599,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:01","end":"04:01","startHours":27.02050658631599,"endHours":28.02050658631599,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:01","end":"05:01","startHours":28.02050658631599,"endHours":29.02050658631599,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:01","end":"06:01","startHours":29.02050658631599,"endHours":30.02050658631599,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.900897893295912,"eotMinutes":1.1873288411622274,"ayanamsa":24.2623}},"calendars":{"vikram_samvat":2086,"vikram_samvatsara":"Dundubhi","saka_samvat":1951,"saka_samvatsara":"Saumya","bengali_samvat":1436,"malayalam_era":1205,"nanakshahi_year":560,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Aṣṭamī · Vikram 2086 Dundubhi · Śaka 1951 Saumya"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 April 21, 2029 CE · Ujjain · Vidhyamitra","description":"April 21, 2029 CE for Ujjain: Śukla Aṣṭamī, sūryodaya 06:01, sūryāsta 18:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2029-04-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2029-04-21","sa":"https://sa.vidhyamitra.com/city/ujjain/2029-04-21","hi":"https://hi.vidhyamitra.com/city/ujjain/2029-04-21","x-default":"https://vidhyamitra.com/city/ujjain/2029-04-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-23T06:24:58.407Z","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":"2026-08-23T06:24:58.407Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-23T06:24:58.407Z","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"}}}