{"id":"vidhyamitra:city-day:ujjain:2046-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2046-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2046-07-20","date_display":"July 20, 2046 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":2046,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468546.770833,"kali_year":5148,"ahargana":1880081.2708,"sun":{"sidereal_longitude":92.4596,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":298.0728,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.6132,"elapsed_within_tithi_degrees":1.6132},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":298.0728,"elapsed_within_degrees":4.7395},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.5324},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2046,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468546.770833,"ahargana":1880081.2708,"kali_year":5148,"ayanamsa_lahiri":24.5033,"grahas":{"sun":{"sidereal_longitude":93.03021799999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":295.9804180000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":1.0744},"mars":{"sidereal_longitude":187.02851799999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":76.24321800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":353.96801800000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":69.16101800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":231.98611800000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":284.2467,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":104.2467,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2046,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468546.770833,"kali_year":5148,"ahargana":1880081.2708,"sun":{"sidereal_longitude":92.4596,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":298.0728,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.6132,"elapsed_within_tithi_degrees":1.6132},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":298.0728,"elapsed_within_degrees":4.7395},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.5324},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.074,"elongation":154.387},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.074,"opposition_distance":25.613}},"eclipse_window_40days":[{"offset_days":-2,"type":"lunar","occurs":true,"moon_latitude":-0.934,"opposition_distance":1.801}]},"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":"05:52","sunsetLocal":"19:14","solarNoonLocal":"12:33","dayLengthHours":13.369115160661998,"dayLengthDisplay":"13 Hours 22 Mins 09 Secs","nightLengthDisplay":"10 Hours 37 Mins 51 Secs","moonriseLocal":"20:28","moonsetLocal":"07:42","rahuKala":{"name":"Rāhu Kāla","start":"10:53","end":"12:33","startHours":10.876197625169873,"endHours":12.547337020252623,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:53","end":"17:34","startHours":15.889615810418121,"endHours":17.56075520550087,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:32","end":"09:12","startHours":7.533918835004373,"endHours":9.205058230087122,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:26","startHours":8.98223964407609,"endHours":9.427876816098156,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:47","startHours":6.419825904949207,"endHours":6.77633564256686,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"13:00","startHours":12.101699848230556,"endHours":12.99297419227469,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:58","startHours":4.080230751833357,"endHours":4.9715050958774905,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:52","startHours":4.748686509866457,"endHours":5.862779439921623,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:47","end":"15:40","startHours":14.775522880362956,"endHours":15.66679722440709,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:02","end":"19:26","startHours":19.031894600583623,"endHours":19.43189460058362,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:14","end":"19:47","startHours":19.231894600583622,"endHours":19.788941065611205,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:59","end":"20:44","startHours":18.981894600583622,"endHours":20.731894600583622,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"01:00","startHours":24.101699848230556,"endHours":24.99297419227469,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:52","end":"07:32","startHours":5.862779439921623,"endHours":7.533918835004373,"quality":"neutral"},{"name":"Labha","start":"07:32","end":"09:12","startHours":7.533918835004373,"endHours":9.205058230087122,"quality":"auspicious"},{"name":"Amṛta","start":"09:12","end":"10:53","startHours":9.205058230087122,"endHours":10.876197625169873,"quality":"auspicious"},{"name":"Kāla","start":"10:53","end":"12:33","startHours":10.876197625169873,"endHours":12.547337020252623,"quality":"inauspicious"},{"name":"Śubha","start":"12:33","end":"14:13","startHours":12.547337020252623,"endHours":14.218476415335374,"quality":"auspicious"},{"name":"Roga","start":"14:13","end":"15:53","startHours":14.218476415335374,"endHours":15.889615810418121,"quality":"inauspicious"},{"name":"Udveg","start":"15:53","end":"17:34","startHours":15.889615810418121,"endHours":17.56075520550087,"quality":"inauspicious"},{"name":"Chala","start":"17:34","end":"19:14","startHours":17.56075520550087,"endHours":19.231894600583622,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:14","end":"20:34","startHours":19.231894600583622,"endHours":20.56075520550087,"quality":"inauspicious"},{"name":"Udveg","start":"20:34","end":"21:53","startHours":20.56075520550087,"endHours":21.88961581041812,"quality":"inauspicious"},{"name":"Chala","start":"21:53","end":"23:13","startHours":21.88961581041812,"endHours":23.218476415335374,"quality":"neutral"},{"name":"Labha","start":"23:13","end":"00:33","startHours":23.218476415335374,"endHours":24.547337020252623,"quality":"auspicious"},{"name":"Amṛta","start":"00:33","end":"01:53","startHours":24.547337020252623,"endHours":25.876197625169873,"quality":"auspicious"},{"name":"Kāla","start":"01:53","end":"03:12","startHours":25.876197625169873,"endHours":27.205058230087126,"quality":"inauspicious"},{"name":"Śubha","start":"03:12","end":"04:32","startHours":27.205058230087126,"endHours":28.533918835004375,"quality":"auspicious"},{"name":"Roga","start":"04:32","end":"05:52","startHours":28.533918835004375,"endHours":29.862779439921624,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.862779439921623,"endHours":6.862779439921623,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.862779439921623,"endHours":7.862779439921623,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.862779439921623,"endHours":8.862779439921624,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.862779439921624,"endHours":9.862779439921624,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.862779439921624,"endHours":10.862779439921624,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.862779439921624,"endHours":11.862779439921624,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.862779439921624,"endHours":12.862779439921624,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.862779439921624,"endHours":13.862779439921624,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.862779439921624,"endHours":14.862779439921624,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.862779439921624,"endHours":15.862779439921624,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.862779439921624,"endHours":16.862779439921624,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.862779439921624,"endHours":17.862779439921624,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.862779439921624,"endHours":18.862779439921624,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.862779439921624,"endHours":19.862779439921624,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.862779439921624,"endHours":20.862779439921624,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.862779439921624,"endHours":21.862779439921624,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.862779439921624,"endHours":22.862779439921624,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.862779439921624,"endHours":23.862779439921624,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.862779439921624,"endHours":24.862779439921624,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.862779439921624,"endHours":25.862779439921624,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.862779439921624,"endHours":26.862779439921624,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.862779439921624,"endHours":27.862779439921624,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.862779439921624,"endHours":28.862779439921624,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.862779439921624,"endHours":29.862779439921624,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.651660830623463,"eotMinutes":-5.99422121515736,"ayanamsa":24.5033}},"calendars":{"vikram_samvat":2103,"vikram_samvatsara":"Pramāthi","saka_samvat":1968,"saka_samvatsara":"Akṣaya","bengali_samvat":1453,"malayalam_era":1222,"nanakshahi_year":577,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Tṛtīyā · Vikram 2103 Pramāthi · Śaka 1968 Akṣaya"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 July 20, 2046 CE · Ujjain · Vidhyamitra","description":"July 20, 2046 CE for Ujjain: Kṛṣṇa Tṛtīyā, sūryodaya 05:52, sūryāsta 19:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2046-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2046-07-20","sa":"https://sa.vidhyamitra.com/city/ujjain/2046-07-20","hi":"https://hi.vidhyamitra.com/city/ujjain/2046-07-20","x-default":"https://vidhyamitra.com/city/ujjain/2046-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T16:38:43.033Z","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":"2026-09-11T16:38:43.033Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T16:38:43.033Z","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"}}}