{"id":"vidhyamitra:city-day:berlin:2124-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2124-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2124-07-15","date_display":"July 15, 2124 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":2124,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497030.770833,"kali_year":5226,"ahargana":1908565.2708,"sun":{"sidereal_longitude":86.6021,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":131.1804,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.5783,"elapsed_within_tithi_degrees":8.5783},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.1804,"elapsed_within_degrees":11.1804},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.7824},"karana":{"half_tithi_index":7,"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":2124,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497030.770833,"ahargana":1908565.2708,"kali_year":5226,"ayanamsa_lahiri":25.5927,"grahas":{"sun":{"sidereal_longitude":87.320019,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":134.256219,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":-4.474},"mars":{"sidereal_longitude":67.83851900000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":102.28541899999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":176.34551899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":39.88551899999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":109.53431899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":215.0273,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":35.0273,"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":"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":2124,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497030.770833,"kali_year":5226,"ahargana":1908565.2708,"sun":{"sidereal_longitude":86.6021,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":131.1804,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.5783,"elapsed_within_tithi_degrees":8.5783},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.1804,"elapsed_within_degrees":11.1804},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.7824},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.474,"elongation":44.578},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.474,"opposition_distance":135.422}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"04:01","sunsetLocal":"20:22","solarNoonLocal":"12:12","dayLengthHours":16.350192265460194,"dayLengthDisplay":"16 Hours 21 Mins 01 Secs","nightLengthDisplay":"7 Hours 38 Mins 59 Secs","moonriseLocal":"08:34","moonsetLocal":"22:05","rahuKala":{"name":"Rāhu Kāla","start":"08:07","end":"10:09","startHours":8.111845452074538,"endHours":10.155619485257063,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:15","end":"16:17","startHours":14.243167551622111,"endHours":16.286941584804637,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"04:01","end":"06:04","startHours":4.02429738570949,"endHours":6.068071418892014,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:50","end":"08:23","startHours":7.839342247650202,"endHours":8.384348656498876,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:42","end":"05:08","startHours":4.705555396770332,"endHours":5.14156052384927,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:45","startHours":11.654387109590912,"endHours":12.744399927288258,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:51","end":"02:56","startHours":1.8442717503147974,"endHours":2.934284568012144,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:40","end":"04:01","startHours":2.6617813635878074,"endHours":4.02429738570949,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:55","end":"16:01","startHours":14.924425562682952,"endHours":16.014438380380298,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:10","end":"20:34","startHours":20.174489651169683,"endHours":20.57448965116968,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:22","end":"21:03","startHours":20.374489651169682,"endHours":21.055747662230523,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:07","end":"21:52","startHours":20.124489651169682,"endHours":21.874489651169682,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:45","startHours":23.65438710959091,"endHours":24.74439992728826,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"04:01","end":"06:04","startHours":4.02429738570949,"endHours":6.068071418892014,"quality":"inauspicious"},{"name":"Śubha","start":"06:04","end":"08:07","startHours":6.068071418892014,"endHours":8.111845452074538,"quality":"auspicious"},{"name":"Roga","start":"08:07","end":"10:09","startHours":8.111845452074538,"endHours":10.155619485257063,"quality":"inauspicious"},{"name":"Udveg","start":"10:09","end":"12:12","startHours":10.155619485257063,"endHours":12.199393518439587,"quality":"inauspicious"},{"name":"Chala","start":"12:12","end":"14:15","startHours":12.199393518439587,"endHours":14.243167551622111,"quality":"neutral"},{"name":"Labha","start":"14:15","end":"16:17","startHours":14.243167551622111,"endHours":16.286941584804637,"quality":"auspicious"},{"name":"Amṛta","start":"16:17","end":"18:20","startHours":16.286941584804637,"endHours":18.33071561798716,"quality":"auspicious"},{"name":"Kāla","start":"18:20","end":"20:22","startHours":18.33071561798716,"endHours":20.374489651169682,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"20:22","end":"21:20","startHours":20.374489651169682,"endHours":21.33071561798716,"quality":"auspicious"},{"name":"Amṛta","start":"21:20","end":"22:17","startHours":21.33071561798716,"endHours":22.286941584804634,"quality":"auspicious"},{"name":"Kāla","start":"22:17","end":"23:15","startHours":22.286941584804634,"endHours":23.243167551622108,"quality":"inauspicious"},{"name":"Śubha","start":"23:15","end":"00:12","startHours":23.243167551622108,"endHours":24.199393518439585,"quality":"auspicious"},{"name":"Roga","start":"00:12","end":"01:09","startHours":24.199393518439585,"endHours":25.155619485257063,"quality":"inauspicious"},{"name":"Udveg","start":"01:09","end":"02:07","startHours":25.155619485257063,"endHours":26.111845452074537,"quality":"inauspicious"},{"name":"Chala","start":"02:07","end":"03:04","startHours":26.111845452074537,"endHours":27.06807141889201,"quality":"neutral"},{"name":"Labha","start":"03:04","end":"04:01","startHours":27.06807141889201,"endHours":28.024297385709488,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:01","end":"05:01","startHours":4.02429738570949,"endHours":5.02429738570949,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"05:01","end":"06:01","startHours":5.02429738570949,"endHours":6.02429738570949,"planetary_lord":"Moon"},{"name":"Hora 3","start":"06:01","end":"07:01","startHours":6.02429738570949,"endHours":7.02429738570949,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"07:01","end":"08:01","startHours":7.02429738570949,"endHours":8.02429738570949,"planetary_lord":"Venus"},{"name":"Hora 5","start":"08:01","end":"09:01","startHours":8.02429738570949,"endHours":9.02429738570949,"planetary_lord":"Sun"},{"name":"Hora 6","start":"09:01","end":"10:01","startHours":9.02429738570949,"endHours":10.02429738570949,"planetary_lord":"Mars"},{"name":"Hora 7","start":"10:01","end":"11:01","startHours":10.02429738570949,"endHours":11.02429738570949,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"11:01","end":"12:01","startHours":11.02429738570949,"endHours":12.02429738570949,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"12:01","end":"13:01","startHours":12.02429738570949,"endHours":13.02429738570949,"planetary_lord":"Moon"},{"name":"Hora 10","start":"13:01","end":"14:01","startHours":13.02429738570949,"endHours":14.02429738570949,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"14:01","end":"15:01","startHours":14.02429738570949,"endHours":15.02429738570949,"planetary_lord":"Venus"},{"name":"Hora 12","start":"15:01","end":"16:01","startHours":15.02429738570949,"endHours":16.024297385709488,"planetary_lord":"Sun"},{"name":"Hora 13","start":"16:01","end":"17:01","startHours":16.024297385709488,"endHours":17.024297385709488,"planetary_lord":"Mars"},{"name":"Hora 14","start":"17:01","end":"18:01","startHours":17.024297385709488,"endHours":18.024297385709488,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"18:01","end":"19:01","startHours":18.024297385709488,"endHours":19.024297385709488,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"19:01","end":"20:01","startHours":19.024297385709488,"endHours":20.024297385709488,"planetary_lord":"Moon"},{"name":"Hora 17","start":"20:01","end":"21:01","startHours":20.024297385709488,"endHours":21.024297385709488,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"21:01","end":"22:01","startHours":21.024297385709488,"endHours":22.024297385709488,"planetary_lord":"Venus"},{"name":"Hora 19","start":"22:01","end":"23:01","startHours":22.024297385709488,"endHours":23.024297385709488,"planetary_lord":"Sun"},{"name":"Hora 20","start":"23:01","end":"00:01","startHours":23.024297385709488,"endHours":24.024297385709488,"planetary_lord":"Mars"},{"name":"Hora 21","start":"00:01","end":"01:01","startHours":24.024297385709488,"endHours":25.024297385709488,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"01:01","end":"02:01","startHours":25.024297385709488,"endHours":26.024297385709488,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"02:01","end":"03:01","startHours":26.024297385709488,"endHours":27.024297385709488,"planetary_lord":"Moon"},{"name":"Hora 24","start":"03:01","end":"04:01","startHours":27.024297385709488,"endHours":28.024297385709488,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.49074756152874,"eotMinutes":-5.583611106375076,"ayanamsa":25.5927}},"calendars":{"vikram_samvat":2181,"vikram_samvatsara":"Hemalambī","saka_samvat":2046,"saka_samvatsara":"Tāraṇa","bengali_samvat":1531,"malayalam_era":1300,"nanakshahi_year":655,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Caturthī · Vikram 2181 Hemalambī · Śaka 2046 Tāraṇa"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 15, 2124 CE · Berlin, Germany · Vidhyamitra","description":"July 15, 2124 CE for Berlin, Germany: Śukla Caturthī, sūryodaya 04:01, sūryāsta 20:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2124-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2124-07-15","sa":"https://sa.vidhyamitra.com/city/berlin/2124-07-15","hi":"https://hi.vidhyamitra.com/city/berlin/2124-07-15","x-default":"https://vidhyamitra.com/city/berlin/2124-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:39:52.068Z","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":"2026-05-31T21:39:52.068Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:39:52.068Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}